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Finding the Third Proportional to 97.88 and 253.97

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Solution

The third proportional to 97.88 and 253.97 is: 659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.88 : 253.97 = 253.97 : x
  2. Step 2: Convert to fraction form
    97.88/253.97 = 253.97/x
  3. Step 3: Cross multiply
    97.88x = 253.97 × 253.97
  4. Step 4: Simplify right side
    97.88x = 64,500.13
  5. Step 5: Solve for x
    x = 64,500.13/97.88
  6. Step 6: Final answer
    x = 659.01

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.