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Finding the Third Proportional to 200,955.38 and 267,887.25

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Solution

The third proportional to 200,955.38 and 267,887.25 is: 357,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,955.38 : 267,887.25 = 267,887.25 : x
  2. Step 2: Convert to fraction form
    200,955.38/267,887.25 = 267,887.25/x
  3. Step 3: Cross multiply
    200,955.38x = 267,887.25 × 267,887.25
  4. Step 4: Simplify right side
    200,955.38x = 71,763,578,712.56
  5. Step 5: Solve for x
    x = 71,763,578,712.56/200,955.38
  6. Step 6: Final answer
    x = 357,112.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.