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Finding the Third Proportional to 232.50 and 367.50

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Solution

The third proportional to 232.50 and 367.50 is: 580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 367.50 = 367.50 : x
  2. Step 2: Convert to fraction form
    232.50/367.50 = 367.50/x
  3. Step 3: Cross multiply
    232.50x = 367.50 × 367.50
  4. Step 4: Simplify right side
    232.50x = 135,056.25
  5. Step 5: Solve for x
    x = 135,056.25/232.50
  6. Step 6: Final answer
    x = 580.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.