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Finding the Third Proportional to 185,252.38 and 398,591.38

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Solution

The third proportional to 185,252.38 and 398,591.38 is: 857,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,252.38 : 398,591.38 = 398,591.38 : x
  2. Step 2: Convert to fraction form
    185,252.38/398,591.38 = 398,591.38/x
  3. Step 3: Cross multiply
    185,252.38x = 398,591.38 × 398,591.38
  4. Step 4: Simplify right side
    185,252.38x = 158,875,084,224.39
  5. Step 5: Solve for x
    x = 158,875,084,224.39/185,252.38
  6. Step 6: Final answer
    x = 857,614.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.