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Finding the Third Proportional to 225,139.50 and 316,649.25

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Solution

The third proportional to 225,139.50 and 316,649.25 is: 445,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,139.50 : 316,649.25 = 316,649.25 : x
  2. Step 2: Convert to fraction form
    225,139.50/316,649.25 = 316,649.25/x
  3. Step 3: Cross multiply
    225,139.50x = 316,649.25 × 316,649.25
  4. Step 4: Simplify right side
    225,139.50x = 100,266,747,525.56
  5. Step 5: Solve for x
    x = 100,266,747,525.56/225,139.50
  6. Step 6: Final answer
    x = 445,353.87

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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.