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Finding the Third Proportional to 232.08 and 500.40

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Solution

The third proportional to 232.08 and 500.40 is: 1,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 500.40 = 500.40 : x
  2. Step 2: Convert to fraction form
    232.08/500.40 = 500.40/x
  3. Step 3: Cross multiply
    232.08x = 500.40 × 500.40
  4. Step 4: Simplify right side
    232.08x = 250,396.64
  5. Step 5: Solve for x
    x = 250,396.64/232.08
  6. Step 6: Final answer
    x = 1,078.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.