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Finding the Third Proportional to 123.28 and 260.81

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Solution

The third proportional to 123.28 and 260.81 is: 551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.28 : 260.81 = 260.81 : x
  2. Step 2: Convert to fraction form
    123.28/260.81 = 260.81/x
  3. Step 3: Cross multiply
    123.28x = 260.81 × 260.81
  4. Step 4: Simplify right side
    123.28x = 68,023.16
  5. Step 5: Solve for x
    x = 68,023.16/123.28
  6. Step 6: Final answer
    x = 551.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.