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Finding the Third Proportional to 266,625 and 374,989.50

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Solution

The third proportional to 266,625 and 374,989.50 is: 527,396.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,625 : 374,989.50 = 374,989.50 : x
  2. Step 2: Convert to fraction form
    266,625/374,989.50 = 374,989.50/x
  3. Step 3: Cross multiply
    266,625x = 374,989.50 × 374,989.50
  4. Step 4: Simplify right side
    266,625x = 140,617,125,110.25
  5. Step 5: Solve for x
    x = 140,617,125,110.25/266,625
  6. Step 6: Final answer
    x = 527,396.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.