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Finding the Third Proportional to 229,876 and 345,124

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Solution

The third proportional to 229,876 and 345,124 is: 518,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,876 : 345,124 = 345,124 : x
  2. Step 2: Convert to fraction form
    229,876/345,124 = 345,124/x
  3. Step 3: Cross multiply
    229,876x = 345,124 × 345,124
  4. Step 4: Simplify right side
    229,876x = 119,110,575,376
  5. Step 5: Solve for x
    x = 119,110,575,376/229,876
  6. Step 6: Final answer
    x = 518,151.42

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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.