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Finding the Third Proportional to 232.88 and 508.15

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Solution

The third proportional to 232.88 and 508.15 is: 1,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 508.15 = 508.15 : x
  2. Step 2: Convert to fraction form
    232.88/508.15 = 508.15/x
  3. Step 3: Cross multiply
    232.88x = 508.15 × 508.15
  4. Step 4: Simplify right side
    232.88x = 258,214.83
  5. Step 5: Solve for x
    x = 258,214.83/232.88
  6. Step 6: Final answer
    x = 1,108.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.