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Finding the Third Proportional to 172,338 and 360,372

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Solution

The third proportional to 172,338 and 360,372 is: 753,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,338 : 360,372 = 360,372 : x
  2. Step 2: Convert to fraction form
    172,338/360,372 = 360,372/x
  3. Step 3: Cross multiply
    172,338x = 360,372 × 360,372
  4. Step 4: Simplify right side
    172,338x = 129,867,978,384
  5. Step 5: Solve for x
    x = 129,867,978,384/172,338
  6. Step 6: Final answer
    x = 753,565.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.