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Finding the Third Proportional to 198,643 and 255,048

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Solution

The third proportional to 198,643 and 255,048 is: 327,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,643 : 255,048 = 255,048 : x
  2. Step 2: Convert to fraction form
    198,643/255,048 = 255,048/x
  3. Step 3: Cross multiply
    198,643x = 255,048 × 255,048
  4. Step 4: Simplify right side
    198,643x = 65,049,482,304
  5. Step 5: Solve for x
    x = 65,049,482,304/198,643
  6. Step 6: Final answer
    x = 327,469.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.