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Finding the Third Proportional to 87,298 and 191,588

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Solution

The third proportional to 87,298 and 191,588 is: 420,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,298 : 191,588 = 191,588 : x
  2. Step 2: Convert to fraction form
    87,298/191,588 = 191,588/x
  3. Step 3: Cross multiply
    87,298x = 191,588 × 191,588
  4. Step 4: Simplify right side
    87,298x = 36,705,961,744
  5. Step 5: Solve for x
    x = 36,705,961,744/87,298
  6. Step 6: Final answer
    x = 420,467.38

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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.