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Finding the Third Proportional to 141,144.38 and 304,452.38

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Solution

The third proportional to 141,144.38 and 304,452.38 is: 656,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,144.38 : 304,452.38 = 304,452.38 : x
  2. Step 2: Convert to fraction form
    141,144.38/304,452.38 = 304,452.38/x
  3. Step 3: Cross multiply
    141,144.38x = 304,452.38 × 304,452.38
  4. Step 4: Simplify right side
    141,144.38x = 92,691,248,643.14
  5. Step 5: Solve for x
    x = 92,691,248,643.14/141,144.38
  6. Step 6: Final answer
    x = 656,712.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.