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Finding the Third Proportional to 227,419.31 and 341,134.88

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Solution

The third proportional to 227,419.31 and 341,134.88 is: 511,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,419.31 : 341,134.88 = 341,134.88 : x
  2. Step 2: Convert to fraction form
    227,419.31/341,134.88 = 341,134.88/x
  3. Step 3: Cross multiply
    227,419.31x = 341,134.88 × 341,134.88
  4. Step 4: Simplify right side
    227,419.31x = 116,373,002,941.27
  5. Step 5: Solve for x
    x = 116,373,002,941.27/227,419.31
  6. Step 6: Final answer
    x = 511,711.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.