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Finding the Third Proportional to 122.16 and 295.69

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Solution

The third proportional to 122.16 and 295.69 is: 715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 295.69 = 295.69 : x
  2. Step 2: Convert to fraction form
    122.16/295.69 = 295.69/x
  3. Step 3: Cross multiply
    122.16x = 295.69 × 295.69
  4. Step 4: Simplify right side
    122.16x = 87,431.10
  5. Step 5: Solve for x
    x = 87,431.10/122.16
  6. Step 6: Final answer
    x = 715.73

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.