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Finding the Third Proportional to 167,950.13 and 256,299.19

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Solution

The third proportional to 167,950.13 and 256,299.19 is: 391,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,950.13 : 256,299.19 = 256,299.19 : x
  2. Step 2: Convert to fraction form
    167,950.13/256,299.19 = 256,299.19/x
  3. Step 3: Cross multiply
    167,950.13x = 256,299.19 × 256,299.19
  4. Step 4: Simplify right side
    167,950.13x = 65,689,273,513.16
  5. Step 5: Solve for x
    x = 65,689,273,513.16/167,950.13
  6. Step 6: Final answer
    x = 391,123.70

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.