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Finding the Third Proportional to 187,936 and 291,451

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Solution

The third proportional to 187,936 and 291,451 is: 451,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,936 : 291,451 = 291,451 : x
  2. Step 2: Convert to fraction form
    187,936/291,451 = 291,451/x
  3. Step 3: Cross multiply
    187,936x = 291,451 × 291,451
  4. Step 4: Simplify right side
    187,936x = 84,943,685,401
  5. Step 5: Solve for x
    x = 84,943,685,401/187,936
  6. Step 6: Final answer
    x = 451,981.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.