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Finding the Third Proportional to 122.38 and 265.94

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Solution

The third proportional to 122.38 and 265.94 is: 577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.38 : 265.94 = 265.94 : x
  2. Step 2: Convert to fraction form
    122.38/265.94 = 265.94/x
  3. Step 3: Cross multiply
    122.38x = 265.94 × 265.94
  4. Step 4: Simplify right side
    122.38x = 70,722.75
  5. Step 5: Solve for x
    x = 70,722.75/122.38
  6. Step 6: Final answer
    x = 577.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.