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Finding the Third Proportional to 233.16 and 511.88

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Solution

The third proportional to 233.16 and 511.88 is: 1,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.16 : 511.88 = 511.88 : x
  2. Step 2: Convert to fraction form
    233.16/511.88 = 511.88/x
  3. Step 3: Cross multiply
    233.16x = 511.88 × 511.88
  4. Step 4: Simplify right side
    233.16x = 262,016.02
  5. Step 5: Solve for x
    x = 262,016.02/233.16
  6. Step 6: Final answer
    x = 1,123.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.