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Finding the Third Proportional to 232,439.63 and 359,169.19

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Solution

The third proportional to 232,439.63 and 359,169.19 is: 554,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,439.63 : 359,169.19 = 359,169.19 : x
  2. Step 2: Convert to fraction form
    232,439.63/359,169.19 = 359,169.19/x
  3. Step 3: Cross multiply
    232,439.63x = 359,169.19 × 359,169.19
  4. Step 4: Simplify right side
    232,439.63x = 129,002,505,249.41
  5. Step 5: Solve for x
    x = 129,002,505,249.41/232,439.63
  6. Step 6: Final answer
    x = 554,993.60

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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.