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Finding the Third Proportional to 156.16 and 229.17

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Solution

The third proportional to 156.16 and 229.17 is: 336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.16 : 229.17 = 229.17 : x
  2. Step 2: Convert to fraction form
    156.16/229.17 = 229.17/x
  3. Step 3: Cross multiply
    156.16x = 229.17 × 229.17
  4. Step 4: Simplify right side
    156.16x = 52,519.75
  5. Step 5: Solve for x
    x = 52,519.75/156.16
  6. Step 6: Final answer
    x = 336.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.