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Finding the Third Proportional to 152,098 and 339,134

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Solution

The third proportional to 152,098 and 339,134 is: 756,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,098 : 339,134 = 339,134 : x
  2. Step 2: Convert to fraction form
    152,098/339,134 = 339,134/x
  3. Step 3: Cross multiply
    152,098x = 339,134 × 339,134
  4. Step 4: Simplify right side
    152,098x = 115,011,869,956
  5. Step 5: Solve for x
    x = 115,011,869,956/152,098
  6. Step 6: Final answer
    x = 756,169.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.