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Finding the Third Proportional to 177,238.13 and 272,427.19

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Solution

The third proportional to 177,238.13 and 272,427.19 is: 418,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,238.13 : 272,427.19 = 272,427.19 : x
  2. Step 2: Convert to fraction form
    177,238.13/272,427.19 = 272,427.19/x
  3. Step 3: Cross multiply
    177,238.13x = 272,427.19 × 272,427.19
  4. Step 4: Simplify right side
    177,238.13x = 74,216,572,489.16
  5. Step 5: Solve for x
    x = 74,216,572,489.16/177,238.13
  6. Step 6: Final answer
    x = 418,739.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.