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Finding the Third Proportional to 227,919 and 353,826

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Solution

The third proportional to 227,919 and 353,826 is: 549,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,919 : 353,826 = 353,826 : x
  2. Step 2: Convert to fraction form
    227,919/353,826 = 353,826/x
  3. Step 3: Cross multiply
    227,919x = 353,826 × 353,826
  4. Step 4: Simplify right side
    227,919x = 125,192,838,276
  5. Step 5: Solve for x
    x = 125,192,838,276/227,919
  6. Step 6: Final answer
    x = 549,286.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.