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Finding the Third Proportional to 187,933.50 and 391,419

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Solution

The third proportional to 187,933.50 and 391,419 is: 815,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,933.50 : 391,419 = 391,419 : x
  2. Step 2: Convert to fraction form
    187,933.50/391,419 = 391,419/x
  3. Step 3: Cross multiply
    187,933.50x = 391,419 × 391,419
  4. Step 4: Simplify right side
    187,933.50x = 153,208,833,561
  5. Step 5: Solve for x
    x = 153,208,833,561/187,933.50
  6. Step 6: Final answer
    x = 815,228.97

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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.