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Finding the Third Proportional to 182,737 and 440,234.50

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Solution

The third proportional to 182,737 and 440,234.50 is: 1,060,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,737 : 440,234.50 = 440,234.50 : x
  2. Step 2: Convert to fraction form
    182,737/440,234.50 = 440,234.50/x
  3. Step 3: Cross multiply
    182,737x = 440,234.50 × 440,234.50
  4. Step 4: Simplify right side
    182,737x = 193,806,414,990.25
  5. Step 5: Solve for x
    x = 193,806,414,990.25/182,737
  6. Step 6: Final answer
    x = 1,060,575.66

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.