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Finding the Third Proportional to 134,679.38 and 200,851.31

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Solution

The third proportional to 134,679.38 and 200,851.31 is: 299,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,679.38 : 200,851.31 = 200,851.31 : x
  2. Step 2: Convert to fraction form
    134,679.38/200,851.31 = 200,851.31/x
  3. Step 3: Cross multiply
    134,679.38x = 200,851.31 × 200,851.31
  4. Step 4: Simplify right side
    134,679.38x = 40,341,249,732.97
  5. Step 5: Solve for x
    x = 40,341,249,732.97/134,679.38
  6. Step 6: Final answer
    x = 299,535.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.