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Finding the Third Proportional to 182,769 and 272,637

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Solution

The third proportional to 182,769 and 272,637 is: 406,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,769 : 272,637 = 272,637 : x
  2. Step 2: Convert to fraction form
    182,769/272,637 = 272,637/x
  3. Step 3: Cross multiply
    182,769x = 272,637 × 272,637
  4. Step 4: Simplify right side
    182,769x = 74,330,933,769
  5. Step 5: Solve for x
    x = 74,330,933,769/182,769
  6. Step 6: Final answer
    x = 406,693.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.