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Finding the Third Proportional to 131,304 and 286,366

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Solution

The third proportional to 131,304 and 286,366 is: 624,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,304 : 286,366 = 286,366 : x
  2. Step 2: Convert to fraction form
    131,304/286,366 = 286,366/x
  3. Step 3: Cross multiply
    131,304x = 286,366 × 286,366
  4. Step 4: Simplify right side
    131,304x = 82,005,485,956
  5. Step 5: Solve for x
    x = 82,005,485,956/131,304
  6. Step 6: Final answer
    x = 624,546.75

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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.