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Finding the Third Proportional to 133,032.38 and 285,747.75

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Solution

The third proportional to 133,032.38 and 285,747.75 is: 613,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,032.38 : 285,747.75 = 285,747.75 : x
  2. Step 2: Convert to fraction form
    133,032.38/285,747.75 = 285,747.75/x
  3. Step 3: Cross multiply
    133,032.38x = 285,747.75 × 285,747.75
  4. Step 4: Simplify right side
    133,032.38x = 81,651,776,630.06
  5. Step 5: Solve for x
    x = 81,651,776,630.06/133,032.38
  6. Step 6: Final answer
    x = 613,773.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.