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Finding the Third Proportional to 131.06 and 284.91

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Solution

The third proportional to 131.06 and 284.91 is: 619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.06 : 284.91 = 284.91 : x
  2. Step 2: Convert to fraction form
    131.06/284.91 = 284.91/x
  3. Step 3: Cross multiply
    131.06x = 284.91 × 284.91
  4. Step 4: Simplify right side
    131.06x = 81,171.57
  5. Step 5: Solve for x
    x = 81,171.57/131.06
  6. Step 6: Final answer
    x = 619.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.