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Finding the Third Proportional to 170,546 and 255,820

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Solution

The third proportional to 170,546 and 255,820 is: 383,731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,546 : 255,820 = 255,820 : x
  2. Step 2: Convert to fraction form
    170,546/255,820 = 255,820/x
  3. Step 3: Cross multiply
    170,546x = 255,820 × 255,820
  4. Step 4: Simplify right side
    170,546x = 65,443,872,400
  5. Step 5: Solve for x
    x = 65,443,872,400/170,546
  6. Step 6: Final answer
    x = 383,731.50

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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.