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Finding the Third Proportional to 181,885.50 and 386,780.06

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Solution

The third proportional to 181,885.50 and 386,780.06 is: 822,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,885.50 : 386,780.06 = 386,780.06 : x
  2. Step 2: Convert to fraction form
    181,885.50/386,780.06 = 386,780.06/x
  3. Step 3: Cross multiply
    181,885.50x = 386,780.06 × 386,780.06
  4. Step 4: Simplify right side
    181,885.50x = 149,598,816,747.50
  5. Step 5: Solve for x
    x = 149,598,816,747.50/181,885.50
  6. Step 6: Final answer
    x = 822,488.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.