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Finding the Third Proportional to 131 and 283.25

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Solution

The third proportional to 131 and 283.25 is: 612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131 : 283.25 = 283.25 : x
  2. Step 2: Convert to fraction form
    131/283.25 = 283.25/x
  3. Step 3: Cross multiply
    131x = 283.25 × 283.25
  4. Step 4: Simplify right side
    131x = 80,230.56
  5. Step 5: Solve for x
    x = 80,230.56/131
  6. Step 6: Final answer
    x = 612.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.