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Finding the Third Proportional to 156.66 and 229.36

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Solution

The third proportional to 156.66 and 229.36 is: 335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.66 : 229.36 = 229.36 : x
  2. Step 2: Convert to fraction form
    156.66/229.36 = 229.36/x
  3. Step 3: Cross multiply
    156.66x = 229.36 × 229.36
  4. Step 4: Simplify right side
    156.66x = 52,605.72
  5. Step 5: Solve for x
    x = 52,605.72/156.66
  6. Step 6: Final answer
    x = 335.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.