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Finding the Third Proportional to 187,481.25 and 410,575.50

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Solution

The third proportional to 187,481.25 and 410,575.50 is: 899,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,481.25 : 410,575.50 = 410,575.50 : x
  2. Step 2: Convert to fraction form
    187,481.25/410,575.50 = 410,575.50/x
  3. Step 3: Cross multiply
    187,481.25x = 410,575.50 × 410,575.50
  4. Step 4: Simplify right side
    187,481.25x = 168,572,241,200.25
  5. Step 5: Solve for x
    x = 168,572,241,200.25/187,481.25
  6. Step 6: Final answer
    x = 899,141.87

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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.