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Finding the Third Proportional to 113,115.75 and 248,646.75

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Solution

The third proportional to 113,115.75 and 248,646.75 is: 546,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,115.75 : 248,646.75 = 248,646.75 : x
  2. Step 2: Convert to fraction form
    113,115.75/248,646.75 = 248,646.75/x
  3. Step 3: Cross multiply
    113,115.75x = 248,646.75 × 248,646.75
  4. Step 4: Simplify right side
    113,115.75x = 61,825,206,285.56
  5. Step 5: Solve for x
    x = 61,825,206,285.56/113,115.75
  6. Step 6: Final answer
    x = 546,565.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.