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Finding the Third Proportional to 141,020 and 317,550

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Solution

The third proportional to 141,020 and 317,550 is: 715,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,020 : 317,550 = 317,550 : x
  2. Step 2: Convert to fraction form
    141,020/317,550 = 317,550/x
  3. Step 3: Cross multiply
    141,020x = 317,550 × 317,550
  4. Step 4: Simplify right side
    141,020x = 100,838,002,500
  5. Step 5: Solve for x
    x = 100,838,002,500/141,020
  6. Step 6: Final answer
    x = 715,061.71

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.