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Finding the Third Proportional to 252,304 and 298,384

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Solution

The third proportional to 252,304 and 298,384 is: 352,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,304 : 298,384 = 298,384 : x
  2. Step 2: Convert to fraction form
    252,304/298,384 = 298,384/x
  3. Step 3: Cross multiply
    252,304x = 298,384 × 298,384
  4. Step 4: Simplify right side
    252,304x = 89,033,011,456
  5. Step 5: Solve for x
    x = 89,033,011,456/252,304
  6. Step 6: Final answer
    x = 352,879.90

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.