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Finding the Third Proportional to 200,591.44 and 437,167.13

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Solution

The third proportional to 200,591.44 and 437,167.13 is: 952,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,591.44 : 437,167.13 = 437,167.13 : x
  2. Step 2: Convert to fraction form
    200,591.44/437,167.13 = 437,167.13/x
  3. Step 3: Cross multiply
    200,591.44x = 437,167.13 × 437,167.13
  4. Step 4: Simplify right side
    200,591.44x = 191,115,095,180.77
  5. Step 5: Solve for x
    x = 191,115,095,180.77/200,591.44
  6. Step 6: Final answer
    x = 952,757.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.