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Finding the Third Proportional to 147.66 and 311.34

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Solution

The third proportional to 147.66 and 311.34 is: 656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 311.34 = 311.34 : x
  2. Step 2: Convert to fraction form
    147.66/311.34 = 311.34/x
  3. Step 3: Cross multiply
    147.66x = 311.34 × 311.34
  4. Step 4: Simplify right side
    147.66x = 96,934.93
  5. Step 5: Solve for x
    x = 96,934.93/147.66
  6. Step 6: Final answer
    x = 656.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.