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Finding the Third Proportional to 185,294 and 361,372

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Solution

The third proportional to 185,294 and 361,372 is: 704,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,294 : 361,372 = 361,372 : x
  2. Step 2: Convert to fraction form
    185,294/361,372 = 361,372/x
  3. Step 3: Cross multiply
    185,294x = 361,372 × 361,372
  4. Step 4: Simplify right side
    185,294x = 130,589,722,384
  5. Step 5: Solve for x
    x = 130,589,722,384/185,294
  6. Step 6: Final answer
    x = 704,770.38

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.