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Finding the Third Proportional to 123 and 250.13

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Solution

The third proportional to 123 and 250.13 is: 508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 250.13 = 250.13 : x
  2. Step 2: Convert to fraction form
    123/250.13 = 250.13/x
  3. Step 3: Cross multiply
    123x = 250.13 × 250.13
  4. Step 4: Simplify right side
    123x = 62,562.52
  5. Step 5: Solve for x
    x = 62,562.52/123
  6. Step 6: Final answer
    x = 508.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.