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Finding the Third Proportional to 182,488 and 272,972

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Solution

The third proportional to 182,488 and 272,972 is: 408,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,488 : 272,972 = 272,972 : x
  2. Step 2: Convert to fraction form
    182,488/272,972 = 272,972/x
  3. Step 3: Cross multiply
    182,488x = 272,972 × 272,972
  4. Step 4: Simplify right side
    182,488x = 74,513,712,784
  5. Step 5: Solve for x
    x = 74,513,712,784/182,488
  6. Step 6: Final answer
    x = 408,321.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.