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Finding the Third Proportional to 151.56 and 221.17

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Solution

The third proportional to 151.56 and 221.17 is: 322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.56 : 221.17 = 221.17 : x
  2. Step 2: Convert to fraction form
    151.56/221.17 = 221.17/x
  3. Step 3: Cross multiply
    151.56x = 221.17 × 221.17
  4. Step 4: Simplify right side
    151.56x = 48,915.27
  5. Step 5: Solve for x
    x = 48,915.27/151.56
  6. Step 6: Final answer
    x = 322.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.