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Finding the Third Proportional to 131,308 and 286,374

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Solution

The third proportional to 131,308 and 286,374 is: 624,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,308 : 286,374 = 286,374 : x
  2. Step 2: Convert to fraction form
    131,308/286,374 = 286,374/x
  3. Step 3: Cross multiply
    131,308x = 286,374 × 286,374
  4. Step 4: Simplify right side
    131,308x = 82,010,067,876
  5. Step 5: Solve for x
    x = 82,010,067,876/131,308
  6. Step 6: Final answer
    x = 624,562.62

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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.