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Finding the Third Proportional to 142,524 and 307,872

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Solution

The third proportional to 142,524 and 307,872 is: 665,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,524 : 307,872 = 307,872 : x
  2. Step 2: Convert to fraction form
    142,524/307,872 = 307,872/x
  3. Step 3: Cross multiply
    142,524x = 307,872 × 307,872
  4. Step 4: Simplify right side
    142,524x = 94,785,168,384
  5. Step 5: Solve for x
    x = 94,785,168,384/142,524
  6. Step 6: Final answer
    x = 665,047.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.