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Finding the Third Proportional to 232.08 and 504.27

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Solution

The third proportional to 232.08 and 504.27 is: 1,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 504.27 = 504.27 : x
  2. Step 2: Convert to fraction form
    232.08/504.27 = 504.27/x
  3. Step 3: Cross multiply
    232.08x = 504.27 × 504.27
  4. Step 4: Simplify right side
    232.08x = 254,290.71
  5. Step 5: Solve for x
    x = 254,290.71/232.08
  6. Step 6: Final answer
    x = 1,095.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.