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Finding the Third Proportional to 170,208 and 255,420

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Solution

The third proportional to 170,208 and 255,420 is: 383,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,208 : 255,420 = 255,420 : x
  2. Step 2: Convert to fraction form
    170,208/255,420 = 255,420/x
  3. Step 3: Cross multiply
    170,208x = 255,420 × 255,420
  4. Step 4: Simplify right side
    170,208x = 65,239,376,400
  5. Step 5: Solve for x
    x = 65,239,376,400/170,208
  6. Step 6: Final answer
    x = 383,292.07

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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.