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Finding the Third Proportional to 225,016.31 and 316,513.69

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Solution

The third proportional to 225,016.31 and 316,513.69 is: 445,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,016.31 : 316,513.69 = 316,513.69 : x
  2. Step 2: Convert to fraction form
    225,016.31/316,513.69 = 316,513.69/x
  3. Step 3: Cross multiply
    225,016.31x = 316,513.69 × 316,513.69
  4. Step 4: Simplify right side
    225,016.31x = 100,180,914,374.85
  5. Step 5: Solve for x
    x = 100,180,914,374.85/225,016.31
  6. Step 6: Final answer
    x = 445,216.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.