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Finding the Third Proportional to 232.50 and 568.88

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Solution

The third proportional to 232.50 and 568.88 is: 1,391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 568.88 = 568.88 : x
  2. Step 2: Convert to fraction form
    232.50/568.88 = 568.88/x
  3. Step 3: Cross multiply
    232.50x = 568.88 × 568.88
  4. Step 4: Simplify right side
    232.50x = 323,618.77
  5. Step 5: Solve for x
    x = 323,618.77/232.50
  6. Step 6: Final answer
    x = 1,391.91

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.