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Finding the Third Proportional to 142,730 and 313,708

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Solution

The third proportional to 142,730 and 313,708 is: 689,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,730 : 313,708 = 313,708 : x
  2. Step 2: Convert to fraction form
    142,730/313,708 = 313,708/x
  3. Step 3: Cross multiply
    142,730x = 313,708 × 313,708
  4. Step 4: Simplify right side
    142,730x = 98,412,709,264
  5. Step 5: Solve for x
    x = 98,412,709,264/142,730
  6. Step 6: Final answer
    x = 689,502.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.