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Finding the Third Proportional to 187,933.50 and 391,417.50

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Solution

The third proportional to 187,933.50 and 391,417.50 is: 815,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,933.50 : 391,417.50 = 391,417.50 : x
  2. Step 2: Convert to fraction form
    187,933.50/391,417.50 = 391,417.50/x
  3. Step 3: Cross multiply
    187,933.50x = 391,417.50 × 391,417.50
  4. Step 4: Simplify right side
    187,933.50x = 153,207,659,306.25
  5. Step 5: Solve for x
    x = 153,207,659,306.25/187,933.50
  6. Step 6: Final answer
    x = 815,222.72

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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.