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Finding the Third Proportional to 123 and 238.13

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Solution

The third proportional to 123 and 238.13 is: 461.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 238.13 = 238.13 : x
  2. Step 2: Convert to fraction form
    123/238.13 = 238.13/x
  3. Step 3: Cross multiply
    123x = 238.13 × 238.13
  4. Step 4: Simplify right side
    123x = 56,703.52
  5. Step 5: Solve for x
    x = 56,703.52/123
  6. Step 6: Final answer
    x = 461.00

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.