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Finding the Third Proportional to 149,682.38 and 232,406.44

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Solution

The third proportional to 149,682.38 and 232,406.44 is: 360,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,682.38 : 232,406.44 = 232,406.44 : x
  2. Step 2: Convert to fraction form
    149,682.38/232,406.44 = 232,406.44/x
  3. Step 3: Cross multiply
    149,682.38x = 232,406.44 × 232,406.44
  4. Step 4: Simplify right side
    149,682.38x = 54,012,752,191.44
  5. Step 5: Solve for x
    x = 54,012,752,191.44/149,682.38
  6. Step 6: Final answer
    x = 360,849.11

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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.