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Finding the Third Proportional to 166.38 and 358.88

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Solution

The third proportional to 166.38 and 358.88 is: 774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.38 : 358.88 = 358.88 : x
  2. Step 2: Convert to fraction form
    166.38/358.88 = 358.88/x
  3. Step 3: Cross multiply
    166.38x = 358.88 × 358.88
  4. Step 4: Simplify right side
    166.38x = 128,791.27
  5. Step 5: Solve for x
    x = 128,791.27/166.38
  6. Step 6: Final answer
    x = 774.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.