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Finding the Third Proportional to 123.14 and 226.03

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Solution

The third proportional to 123.14 and 226.03 is: 414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.14 : 226.03 = 226.03 : x
  2. Step 2: Convert to fraction form
    123.14/226.03 = 226.03/x
  3. Step 3: Cross multiply
    123.14x = 226.03 × 226.03
  4. Step 4: Simplify right side
    123.14x = 51,090.13
  5. Step 5: Solve for x
    x = 51,090.13/123.14
  6. Step 6: Final answer
    x = 414.89

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.