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Finding the Third Proportional to 250,740.56 and 547,180.31

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Solution

The third proportional to 250,740.56 and 547,180.31 is: 1,194,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,740.56 : 547,180.31 = 547,180.31 : x
  2. Step 2: Convert to fraction form
    250,740.56/547,180.31 = 547,180.31/x
  3. Step 3: Cross multiply
    250,740.56x = 547,180.31 × 547,180.31
  4. Step 4: Simplify right side
    250,740.56x = 299,406,294,387.60
  5. Step 5: Solve for x
    x = 299,406,294,387.60/250,740.56
  6. Step 6: Final answer
    x = 1,194,087.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.