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Finding the Third Proportional to 142,772 and 296,872

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Solution

The third proportional to 142,772 and 296,872 is: 617,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,772 : 296,872 = 296,872 : x
  2. Step 2: Convert to fraction form
    142,772/296,872 = 296,872/x
  3. Step 3: Cross multiply
    142,772x = 296,872 × 296,872
  4. Step 4: Simplify right side
    142,772x = 88,132,984,384
  5. Step 5: Solve for x
    x = 88,132,984,384/142,772
  6. Step 6: Final answer
    x = 617,298.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.