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Finding the Third Proportional to 131.06 and 282.16

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Solution

The third proportional to 131.06 and 282.16 is: 607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.06 : 282.16 = 282.16 : x
  2. Step 2: Convert to fraction form
    131.06/282.16 = 282.16/x
  3. Step 3: Cross multiply
    131.06x = 282.16 × 282.16
  4. Step 4: Simplify right side
    131.06x = 79,616.56
  5. Step 5: Solve for x
    x = 79,616.56/131.06
  6. Step 6: Final answer
    x = 607.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.