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Finding the Third Proportional to 232.50 and 431.50

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Solution

The third proportional to 232.50 and 431.50 is: 800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 431.50 = 431.50 : x
  2. Step 2: Convert to fraction form
    232.50/431.50 = 431.50/x
  3. Step 3: Cross multiply
    232.50x = 431.50 × 431.50
  4. Step 4: Simplify right side
    232.50x = 186,192.25
  5. Step 5: Solve for x
    x = 186,192.25/232.50
  6. Step 6: Final answer
    x = 800.83

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.