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Finding the Third Proportional to 187,960 and 413,134

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Solution

The third proportional to 187,960 and 413,134 is: 908,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,960 : 413,134 = 413,134 : x
  2. Step 2: Convert to fraction form
    187,960/413,134 = 413,134/x
  3. Step 3: Cross multiply
    187,960x = 413,134 × 413,134
  4. Step 4: Simplify right side
    187,960x = 170,679,701,956
  5. Step 5: Solve for x
    x = 170,679,701,956/187,960
  6. Step 6: Final answer
    x = 908,063.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.