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Finding the Third Proportional to 157,839.89 and 335,396.95

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Solution

The third proportional to 157,839.89 and 335,396.95 is: 712,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,839.89 : 335,396.95 = 335,396.95 : x
  2. Step 2: Convert to fraction form
    157,839.89/335,396.95 = 335,396.95/x
  3. Step 3: Cross multiply
    157,839.89x = 335,396.95 × 335,396.95
  4. Step 4: Simplify right side
    157,839.89x = 112,491,116,165.53
  5. Step 5: Solve for x
    x = 112,491,116,165.53/157,839.89
  6. Step 6: Final answer
    x = 712,691.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.