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Finding the Third Proportional to 233.28 and 508.44

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Solution

The third proportional to 233.28 and 508.44 is: 1,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.28 : 508.44 = 508.44 : x
  2. Step 2: Convert to fraction form
    233.28/508.44 = 508.44/x
  3. Step 3: Cross multiply
    233.28x = 508.44 × 508.44
  4. Step 4: Simplify right side
    233.28x = 258,508.69
  5. Step 5: Solve for x
    x = 258,508.69/233.28
  6. Step 6: Final answer
    x = 1,108.14

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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.