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Finding the Third Proportional to 131,518 and 287,642

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Solution

The third proportional to 131,518 and 287,642 is: 629,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,518 : 287,642 = 287,642 : x
  2. Step 2: Convert to fraction form
    131,518/287,642 = 287,642/x
  3. Step 3: Cross multiply
    131,518x = 287,642 × 287,642
  4. Step 4: Simplify right side
    131,518x = 82,737,920,164
  5. Step 5: Solve for x
    x = 82,737,920,164/131,518
  6. Step 6: Final answer
    x = 629,099.59

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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.