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Finding the Third Proportional to 180,625 and 268,323

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Solution

The third proportional to 180,625 and 268,323 is: 398,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,625 : 268,323 = 268,323 : x
  2. Step 2: Convert to fraction form
    180,625/268,323 = 268,323/x
  3. Step 3: Cross multiply
    180,625x = 268,323 × 268,323
  4. Step 4: Simplify right side
    180,625x = 71,997,232,329
  5. Step 5: Solve for x
    x = 71,997,232,329/180,625
  6. Step 6: Final answer
    x = 398,600.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.