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Finding the Third Proportional to 131,194 and 287,012

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Solution

The third proportional to 131,194 and 287,012 is: 627,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,194 : 287,012 = 287,012 : x
  2. Step 2: Convert to fraction form
    131,194/287,012 = 287,012/x
  3. Step 3: Cross multiply
    131,194x = 287,012 × 287,012
  4. Step 4: Simplify right side
    131,194x = 82,375,888,144
  5. Step 5: Solve for x
    x = 82,375,888,144/131,194
  6. Step 6: Final answer
    x = 627,893.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.