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Finding the Third Proportional to 142,750 and 307,424

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Solution

The third proportional to 142,750 and 307,424 is: 662,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,750 : 307,424 = 307,424 : x
  2. Step 2: Convert to fraction form
    142,750/307,424 = 307,424/x
  3. Step 3: Cross multiply
    142,750x = 307,424 × 307,424
  4. Step 4: Simplify right side
    142,750x = 94,509,515,776
  5. Step 5: Solve for x
    x = 94,509,515,776/142,750
  6. Step 6: Final answer
    x = 662,063.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.