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Finding the Third Proportional to 221.75 and 473.88

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Solution

The third proportional to 221.75 and 473.88 is: 1,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.75 : 473.88 = 473.88 : x
  2. Step 2: Convert to fraction form
    221.75/473.88 = 473.88/x
  3. Step 3: Cross multiply
    221.75x = 473.88 × 473.88
  4. Step 4: Simplify right side
    221.75x = 224,557.52
  5. Step 5: Solve for x
    x = 224,557.52/221.75
  6. Step 6: Final answer
    x = 1,012.66

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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.