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Finding the Third Proportional to 148.75 and 282.31

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Solution

The third proportional to 148.75 and 282.31 is: 535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.75 : 282.31 = 282.31 : x
  2. Step 2: Convert to fraction form
    148.75/282.31 = 282.31/x
  3. Step 3: Cross multiply
    148.75x = 282.31 × 282.31
  4. Step 4: Simplify right side
    148.75x = 79,700.35
  5. Step 5: Solve for x
    x = 79,700.35/148.75
  6. Step 6: Final answer
    x = 535.80

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.