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Finding the Third Proportional to 200,288.81 and 267,553.13

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Solution

The third proportional to 200,288.81 and 267,553.13 is: 357,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,288.81 : 267,553.13 = 267,553.13 : x
  2. Step 2: Convert to fraction form
    200,288.81/267,553.13 = 267,553.13/x
  3. Step 3: Cross multiply
    200,288.81x = 267,553.13 × 267,553.13
  4. Step 4: Simplify right side
    200,288.81x = 71,584,674,697.27
  5. Step 5: Solve for x
    x = 71,584,674,697.27/200,288.81
  6. Step 6: Final answer
    x = 357,407.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.