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Finding the Third Proportional to 181,900.13 and 382,654.27

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Solution

The third proportional to 181,900.13 and 382,654.27 is: 804,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,900.13 : 382,654.27 = 382,654.27 : x
  2. Step 2: Convert to fraction form
    181,900.13/382,654.27 = 382,654.27/x
  3. Step 3: Cross multiply
    181,900.13x = 382,654.27 × 382,654.27
  4. Step 4: Simplify right side
    181,900.13x = 146,424,287,001.01
  5. Step 5: Solve for x
    x = 146,424,287,001.01/181,900.13
  6. Step 6: Final answer
    x = 804,970.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.