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Finding the Third Proportional to 182,403.14 and 291,387.38

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Solution

The third proportional to 182,403.14 and 291,387.38 is: 465,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,403.14 : 291,387.38 = 291,387.38 : x
  2. Step 2: Convert to fraction form
    182,403.14/291,387.38 = 291,387.38/x
  3. Step 3: Cross multiply
    182,403.14x = 291,387.38 × 291,387.38
  4. Step 4: Simplify right side
    182,403.14x = 84,906,602,309.39
  5. Step 5: Solve for x
    x = 84,906,602,309.39/182,403.14
  6. Step 6: Final answer
    x = 465,488.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.