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Finding the Third Proportional to 156.89 and 229.69

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Solution

The third proportional to 156.89 and 229.69 is: 336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.89 : 229.69 = 229.69 : x
  2. Step 2: Convert to fraction form
    156.89/229.69 = 229.69/x
  3. Step 3: Cross multiply
    156.89x = 229.69 × 229.69
  4. Step 4: Simplify right side
    156.89x = 52,756.35
  5. Step 5: Solve for x
    x = 52,756.35/156.89
  6. Step 6: Final answer
    x = 336.26

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