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Finding the Third Proportional to 87,416 and 191,248

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Solution

The third proportional to 87,416 and 191,248 is: 418,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,416 : 191,248 = 191,248 : x
  2. Step 2: Convert to fraction form
    87,416/191,248 = 191,248/x
  3. Step 3: Cross multiply
    87,416x = 191,248 × 191,248
  4. Step 4: Simplify right side
    87,416x = 36,575,797,504
  5. Step 5: Solve for x
    x = 36,575,797,504/87,416
  6. Step 6: Final answer
    x = 418,410.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.