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Finding the Third Proportional to 182,406 and 426,049

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Solution

The third proportional to 182,406 and 426,049 is: 995,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,406 : 426,049 = 426,049 : x
  2. Step 2: Convert to fraction form
    182,406/426,049 = 426,049/x
  3. Step 3: Cross multiply
    182,406x = 426,049 × 426,049
  4. Step 4: Simplify right side
    182,406x = 181,517,750,401
  5. Step 5: Solve for x
    x = 181,517,750,401/182,406
  6. Step 6: Final answer
    x = 995,130.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.