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Finding the Third Proportional to 225,679.50 and 349,866

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Solution

The third proportional to 225,679.50 and 349,866 is: 542,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,679.50 : 349,866 = 349,866 : x
  2. Step 2: Convert to fraction form
    225,679.50/349,866 = 349,866/x
  3. Step 3: Cross multiply
    225,679.50x = 349,866 × 349,866
  4. Step 4: Simplify right side
    225,679.50x = 122,406,217,956
  5. Step 5: Solve for x
    x = 122,406,217,956/225,679.50
  6. Step 6: Final answer
    x = 542,389.62

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