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Finding the Third Proportional to 206.61 and 332.17

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Solution

The third proportional to 206.61 and 332.17 is: 534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.61 : 332.17 = 332.17 : x
  2. Step 2: Convert to fraction form
    206.61/332.17 = 332.17/x
  3. Step 3: Cross multiply
    206.61x = 332.17 × 332.17
  4. Step 4: Simplify right side
    206.61x = 110,339.45
  5. Step 5: Solve for x
    x = 110,339.45/206.61
  6. Step 6: Final answer
    x = 534.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.