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Finding the Third Proportional to 235.97 and 500.59

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Solution

The third proportional to 235.97 and 500.59 is: 1,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.97 : 500.59 = 500.59 : x
  2. Step 2: Convert to fraction form
    235.97/500.59 = 500.59/x
  3. Step 3: Cross multiply
    235.97x = 500.59 × 500.59
  4. Step 4: Simplify right side
    235.97x = 250,594.10
  5. Step 5: Solve for x
    x = 250,594.10/235.97
  6. Step 6: Final answer
    x = 1,061.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.