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Finding the Third Proportional to 142,572 and 309,428

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Solution

The third proportional to 142,572 and 309,428 is: 671,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,572 : 309,428 = 309,428 : x
  2. Step 2: Convert to fraction form
    142,572/309,428 = 309,428/x
  3. Step 3: Cross multiply
    142,572x = 309,428 × 309,428
  4. Step 4: Simplify right side
    142,572x = 95,745,687,184
  5. Step 5: Solve for x
    x = 95,745,687,184/142,572
  6. Step 6: Final answer
    x = 671,560.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.