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Finding the Third Proportional to 260,742 and 371,925

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Solution

The third proportional to 260,742 and 371,925 is: 530,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,742 : 371,925 = 371,925 : x
  2. Step 2: Convert to fraction form
    260,742/371,925 = 371,925/x
  3. Step 3: Cross multiply
    260,742x = 371,925 × 371,925
  4. Step 4: Simplify right side
    260,742x = 138,328,205,625
  5. Step 5: Solve for x
    x = 138,328,205,625/260,742
  6. Step 6: Final answer
    x = 530,517.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.