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Finding the Third Proportional to 187,788 and 391,108

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Solution

The third proportional to 187,788 and 391,108 is: 814,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,788 : 391,108 = 391,108 : x
  2. Step 2: Convert to fraction form
    187,788/391,108 = 391,108/x
  3. Step 3: Cross multiply
    187,788x = 391,108 × 391,108
  4. Step 4: Simplify right side
    187,788x = 152,965,467,664
  5. Step 5: Solve for x
    x = 152,965,467,664/187,788
  6. Step 6: Final answer
    x = 814,564.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.