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Finding the Third Proportional to 188,737.78 and 285,853.97

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Solution

The third proportional to 188,737.78 and 285,853.97 is: 432,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,737.78 : 285,853.97 = 285,853.97 : x
  2. Step 2: Convert to fraction form
    188,737.78/285,853.97 = 285,853.97/x
  3. Step 3: Cross multiply
    188,737.78x = 285,853.97 × 285,853.97
  4. Step 4: Simplify right side
    188,737.78x = 81,712,491,450.13
  5. Step 5: Solve for x
    x = 81,712,491,450.13/188,737.78
  6. Step 6: Final answer
    x = 432,941.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.