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Finding the Third Proportional to 221.70 and 472.45

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Solution

The third proportional to 221.70 and 472.45 is: 1,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.70 : 472.45 = 472.45 : x
  2. Step 2: Convert to fraction form
    221.70/472.45 = 472.45/x
  3. Step 3: Cross multiply
    221.70x = 472.45 × 472.45
  4. Step 4: Simplify right side
    221.70x = 223,206.42
  5. Step 5: Solve for x
    x = 223,206.42/221.70
  6. Step 6: Final answer
    x = 1,006.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.