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Finding the Third Proportional to 113,754 and 244,951.50

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Solution

The third proportional to 113,754 and 244,951.50 is: 527,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,754 : 244,951.50 = 244,951.50 : x
  2. Step 2: Convert to fraction form
    113,754/244,951.50 = 244,951.50/x
  3. Step 3: Cross multiply
    113,754x = 244,951.50 × 244,951.50
  4. Step 4: Simplify right side
    113,754x = 60,001,237,352.25
  5. Step 5: Solve for x
    x = 60,001,237,352.25/113,754
  6. Step 6: Final answer
    x = 527,464.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.