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Finding the Third Proportional to 130,851.38 and 207,540.56

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Solution

The third proportional to 130,851.38 and 207,540.56 is: 329,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,851.38 : 207,540.56 = 207,540.56 : x
  2. Step 2: Convert to fraction form
    130,851.38/207,540.56 = 207,540.56/x
  3. Step 3: Cross multiply
    130,851.38x = 207,540.56 × 207,540.56
  4. Step 4: Simplify right side
    130,851.38x = 43,073,085,082.82
  5. Step 5: Solve for x
    x = 43,073,085,082.82/130,851.38
  6. Step 6: Final answer
    x = 329,175.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.