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Finding the Third Proportional to 195,279 and 292,919

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Solution

The third proportional to 195,279 and 292,919 is: 439,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,279 : 292,919 = 292,919 : x
  2. Step 2: Convert to fraction form
    195,279/292,919 = 292,919/x
  3. Step 3: Cross multiply
    195,279x = 292,919 × 292,919
  4. Step 4: Simplify right side
    195,279x = 85,801,540,561
  5. Step 5: Solve for x
    x = 85,801,540,561/195,279
  6. Step 6: Final answer
    x = 439,379.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.