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Finding the Third Proportional to 97.50 and 205.13

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Solution

The third proportional to 97.50 and 205.13 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 205.13 = 205.13 : x
  2. Step 2: Convert to fraction form
    97.50/205.13 = 205.13/x
  3. Step 3: Cross multiply
    97.50x = 205.13 × 205.13
  4. Step 4: Simplify right side
    97.50x = 42,076.27
  5. Step 5: Solve for x
    x = 42,076.27/97.50
  6. Step 6: Final answer
    x = 431.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.