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Finding the Third Proportional to 122.72 and 228.78

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Solution

The third proportional to 122.72 and 228.78 is: 426.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.72 : 228.78 = 228.78 : x
  2. Step 2: Convert to fraction form
    122.72/228.78 = 228.78/x
  3. Step 3: Cross multiply
    122.72x = 228.78 × 228.78
  4. Step 4: Simplify right side
    122.72x = 52,340.86
  5. Step 5: Solve for x
    x = 52,340.86/122.72
  6. Step 6: Final answer
    x = 426.51

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.