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Finding the Third Proportional to 156.66 and 367.59

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Solution

The third proportional to 156.66 and 367.59 is: 862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.66 : 367.59 = 367.59 : x
  2. Step 2: Convert to fraction form
    156.66/367.59 = 367.59/x
  3. Step 3: Cross multiply
    156.66x = 367.59 × 367.59
  4. Step 4: Simplify right side
    156.66x = 135,125.17
  5. Step 5: Solve for x
    x = 135,125.17/156.66
  6. Step 6: Final answer
    x = 862.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.