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Finding the Third Proportional to 131.47 and 287.14

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Solution

The third proportional to 131.47 and 287.14 is: 627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.47 : 287.14 = 287.14 : x
  2. Step 2: Convert to fraction form
    131.47/287.14 = 287.14/x
  3. Step 3: Cross multiply
    131.47x = 287.14 × 287.14
  4. Step 4: Simplify right side
    131.47x = 82,448.62
  5. Step 5: Solve for x
    x = 82,448.62/131.47
  6. Step 6: Final answer
    x = 627.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.