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Finding the Third Proportional to 232.25 and 456.25

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Solution

The third proportional to 232.25 and 456.25 is: 896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.25 : 456.25 = 456.25 : x
  2. Step 2: Convert to fraction form
    232.25/456.25 = 456.25/x
  3. Step 3: Cross multiply
    232.25x = 456.25 × 456.25
  4. Step 4: Simplify right side
    232.25x = 208,164.06
  5. Step 5: Solve for x
    x = 208,164.06/232.25
  6. Step 6: Final answer
    x = 896.29

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.