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Finding the Third Proportional to 141,882.38 and 211,593.38

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Solution

The third proportional to 141,882.38 and 211,593.38 is: 315,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,882.38 : 211,593.38 = 211,593.38 : x
  2. Step 2: Convert to fraction form
    141,882.38/211,593.38 = 211,593.38/x
  3. Step 3: Cross multiply
    141,882.38x = 211,593.38 × 211,593.38
  4. Step 4: Simplify right side
    141,882.38x = 44,771,756,343.89
  5. Step 5: Solve for x
    x = 44,771,756,343.89/141,882.38
  6. Step 6: Final answer
    x = 315,555.45

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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.