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Finding the Third Proportional to 154,449.50 and 338,423.50

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Solution

The third proportional to 154,449.50 and 338,423.50 is: 741,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,449.50 : 338,423.50 = 338,423.50 : x
  2. Step 2: Convert to fraction form
    154,449.50/338,423.50 = 338,423.50/x
  3. Step 3: Cross multiply
    154,449.50x = 338,423.50 × 338,423.50
  4. Step 4: Simplify right side
    154,449.50x = 114,530,465,352.25
  5. Step 5: Solve for x
    x = 114,530,465,352.25/154,449.50
  6. Step 6: Final answer
    x = 741,539.89

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Why These Related Problems?

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