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Finding the Third Proportional to 177,820.31 and 272,651.06

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Solution

The third proportional to 177,820.31 and 272,651.06 is: 418,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,820.31 : 272,651.06 = 272,651.06 : x
  2. Step 2: Convert to fraction form
    177,820.31/272,651.06 = 272,651.06/x
  3. Step 3: Cross multiply
    177,820.31x = 272,651.06 × 272,651.06
  4. Step 4: Simplify right side
    177,820.31x = 74,338,601,882.38
  5. Step 5: Solve for x
    x = 74,338,601,882.38/177,820.31
  6. Step 6: Final answer
    x = 418,054.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.