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Finding the Third Proportional to 197,398.88 and 281,335.88

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Solution

The third proportional to 197,398.88 and 281,335.88 is: 400,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,398.88 : 281,335.88 = 281,335.88 : x
  2. Step 2: Convert to fraction form
    197,398.88/281,335.88 = 281,335.88/x
  3. Step 3: Cross multiply
    197,398.88x = 281,335.88 × 281,335.88
  4. Step 4: Simplify right side
    197,398.88x = 79,149,874,562.02
  5. Step 5: Solve for x
    x = 79,149,874,562.02/197,398.88
  6. Step 6: Final answer
    x = 400,964.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.