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Finding the Third Proportional to 182,550.38 and 272,301.75

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Solution

The third proportional to 182,550.38 and 272,301.75 is: 406,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,550.38 : 272,301.75 = 272,301.75 : x
  2. Step 2: Convert to fraction form
    182,550.38/272,301.75 = 272,301.75/x
  3. Step 3: Cross multiply
    182,550.38x = 272,301.75 × 272,301.75
  4. Step 4: Simplify right side
    182,550.38x = 74,148,243,053.06
  5. Step 5: Solve for x
    x = 74,148,243,053.06/182,550.38
  6. Step 6: Final answer
    x = 406,179.63

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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.