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Finding the Third Proportional to 154,439.75 and 338,403.88

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Solution

The third proportional to 154,439.75 and 338,403.88 is: 741,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,439.75 : 338,403.88 = 338,403.88 : x
  2. Step 2: Convert to fraction form
    154,439.75/338,403.88 = 338,403.88/x
  3. Step 3: Cross multiply
    154,439.75x = 338,403.88 × 338,403.88
  4. Step 4: Simplify right side
    154,439.75x = 114,517,182,615.02
  5. Step 5: Solve for x
    x = 114,517,182,615.02/154,439.75
  6. Step 6: Final answer
    x = 741,500.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.