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Finding the Third Proportional to 182,902 and 274,840

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Solution

The third proportional to 182,902 and 274,840 is: 412,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,902 : 274,840 = 274,840 : x
  2. Step 2: Convert to fraction form
    182,902/274,840 = 274,840/x
  3. Step 3: Cross multiply
    182,902x = 274,840 × 274,840
  4. Step 4: Simplify right side
    182,902x = 75,537,025,600
  5. Step 5: Solve for x
    x = 75,537,025,600/182,902
  6. Step 6: Final answer
    x = 412,991.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.