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Finding the Third Proportional to 227,885 and 353,774

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Solution

The third proportional to 227,885 and 353,774 is: 549,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,885 : 353,774 = 353,774 : x
  2. Step 2: Convert to fraction form
    227,885/353,774 = 353,774/x
  3. Step 3: Cross multiply
    227,885x = 353,774 × 353,774
  4. Step 4: Simplify right side
    227,885x = 125,156,043,076
  5. Step 5: Solve for x
    x = 125,156,043,076/227,885
  6. Step 6: Final answer
    x = 549,207.03

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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.