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Finding the Third Proportional to 232.03 and 458.16

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Solution

The third proportional to 232.03 and 458.16 is: 904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.03 : 458.16 = 458.16 : x
  2. Step 2: Convert to fraction form
    232.03/458.16 = 458.16/x
  3. Step 3: Cross multiply
    232.03x = 458.16 × 458.16
  4. Step 4: Simplify right side
    232.03x = 209,907.15
  5. Step 5: Solve for x
    x = 209,907.15/232.03
  6. Step 6: Final answer
    x = 904.65

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.