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Finding the Third Proportional to 170,327,124 and 255,206,322

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Solution

The third proportional to 170,327,124 and 255,206,322 is: 382,383,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,327,124 : 255,206,322 = 255,206,322 : x
  2. Step 2: Convert to fraction form
    170,327,124/255,206,322 = 255,206,322/x
  3. Step 3: Cross multiply
    170,327,124x = 255,206,322 × 255,206,322
  4. Step 4: Simplify right side
    170,327,124x = 65,130,266,788,767,680
  5. Step 5: Solve for x
    x = 65,130,266,788,767,680/170,327,124
  6. Step 6: Final answer
    x = 382,383,411.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.