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Finding the Third Proportional to 187,078.13 and 410,375.25

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Solution

The third proportional to 187,078.13 and 410,375.25 is: 900,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,078.13 : 410,375.25 = 410,375.25 : x
  2. Step 2: Convert to fraction form
    187,078.13/410,375.25 = 410,375.25/x
  3. Step 3: Cross multiply
    187,078.13x = 410,375.25 × 410,375.25
  4. Step 4: Simplify right side
    187,078.13x = 168,407,845,812.56
  5. Step 5: Solve for x
    x = 168,407,845,812.56/187,078.13
  6. Step 6: Final answer
    x = 900,200.63

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Why These Related Problems?

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