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Finding the Third Proportional to 182,069 and 372,884

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Solution

The third proportional to 182,069 and 372,884 is: 763,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,069 : 372,884 = 372,884 : x
  2. Step 2: Convert to fraction form
    182,069/372,884 = 372,884/x
  3. Step 3: Cross multiply
    182,069x = 372,884 × 372,884
  4. Step 4: Simplify right side
    182,069x = 139,042,477,456
  5. Step 5: Solve for x
    x = 139,042,477,456/182,069
  6. Step 6: Final answer
    x = 763,680.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.