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Finding the Third Proportional to 234.47 and 456.42

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Solution

The third proportional to 234.47 and 456.42 is: 888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.47 : 456.42 = 456.42 : x
  2. Step 2: Convert to fraction form
    234.47/456.42 = 456.42/x
  3. Step 3: Cross multiply
    234.47x = 456.42 × 456.42
  4. Step 4: Simplify right side
    234.47x = 208,320.93
  5. Step 5: Solve for x
    x = 208,320.93/234.47
  6. Step 6: Final answer
    x = 888.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.