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Finding the Third Proportional to 115,016.31 and 251,355.69

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Solution

The third proportional to 115,016.31 and 251,355.69 is: 549,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,016.31 : 251,355.69 = 251,355.69 : x
  2. Step 2: Convert to fraction form
    115,016.31/251,355.69 = 251,355.69/x
  3. Step 3: Cross multiply
    115,016.31x = 251,355.69 × 251,355.69
  4. Step 4: Simplify right side
    115,016.31x = 63,179,681,638.60
  5. Step 5: Solve for x
    x = 63,179,681,638.60/115,016.31
  6. Step 6: Final answer
    x = 549,310.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.