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Finding the Third Proportional to 183,118 and 393,847

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Solution

The third proportional to 183,118 and 393,847 is: 847,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,118 : 393,847 = 393,847 : x
  2. Step 2: Convert to fraction form
    183,118/393,847 = 393,847/x
  3. Step 3: Cross multiply
    183,118x = 393,847 × 393,847
  4. Step 4: Simplify right side
    183,118x = 155,115,459,409
  5. Step 5: Solve for x
    x = 155,115,459,409/183,118
  6. Step 6: Final answer
    x = 847,079.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.