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Finding the Third Proportional to 154,472 and 338,468

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Solution

The third proportional to 154,472 and 338,468 is: 741,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,472 : 338,468 = 338,468 : x
  2. Step 2: Convert to fraction form
    154,472/338,468 = 338,468/x
  3. Step 3: Cross multiply
    154,472x = 338,468 × 338,468
  4. Step 4: Simplify right side
    154,472x = 114,560,587,024
  5. Step 5: Solve for x
    x = 114,560,587,024/154,472
  6. Step 6: Final answer
    x = 741,626.88

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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.