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Finding the Third Proportional to 157,086.84 and 339,081.19

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Solution

The third proportional to 157,086.84 and 339,081.19 is: 731,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,086.84 : 339,081.19 = 339,081.19 : x
  2. Step 2: Convert to fraction form
    157,086.84/339,081.19 = 339,081.19/x
  3. Step 3: Cross multiply
    157,086.84x = 339,081.19 × 339,081.19
  4. Step 4: Simplify right side
    157,086.84x = 114,976,051,716.41
  5. Step 5: Solve for x
    x = 114,976,051,716.41/157,086.84
  6. Step 6: Final answer
    x = 731,926.68

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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.