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Finding the Third Proportional to 97.17 and 207.80

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Solution

The third proportional to 97.17 and 207.80 is: 444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.17 : 207.80 = 207.80 : x
  2. Step 2: Convert to fraction form
    97.17/207.80 = 207.80/x
  3. Step 3: Cross multiply
    97.17x = 207.80 × 207.80
  4. Step 4: Simplify right side
    97.17x = 43,179.54
  5. Step 5: Solve for x
    x = 43,179.54/97.17
  6. Step 6: Final answer
    x = 444.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.