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Finding the Third Proportional to 169,471.62 and 232,382.99

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Solution

The third proportional to 169,471.62 and 232,382.99 is: 318,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,471.62 : 232,382.99 = 232,382.99 : x
  2. Step 2: Convert to fraction form
    169,471.62/232,382.99 = 232,382.99/x
  3. Step 3: Cross multiply
    169,471.62x = 232,382.99 × 232,382.99
  4. Step 4: Simplify right side
    169,471.62x = 54,001,853,242.52
  5. Step 5: Solve for x
    x = 54,001,853,242.52/169,471.62
  6. Step 6: Final answer
    x = 318,648.36

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.