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Finding the Third Proportional to 182,696 and 398,608

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Solution

The third proportional to 182,696 and 398,608 is: 869,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,696 : 398,608 = 398,608 : x
  2. Step 2: Convert to fraction form
    182,696/398,608 = 398,608/x
  3. Step 3: Cross multiply
    182,696x = 398,608 × 398,608
  4. Step 4: Simplify right side
    182,696x = 158,888,337,664
  5. Step 5: Solve for x
    x = 158,888,337,664/182,696
  6. Step 6: Final answer
    x = 869,687.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.