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Finding the Third Proportional to 229,867 and 345,114

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Solution

The third proportional to 229,867 and 345,114 is: 518,141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,867 : 345,114 = 345,114 : x
  2. Step 2: Convert to fraction form
    229,867/345,114 = 345,114/x
  3. Step 3: Cross multiply
    229,867x = 345,114 × 345,114
  4. Step 4: Simplify right side
    229,867x = 119,103,672,996
  5. Step 5: Solve for x
    x = 119,103,672,996/229,867
  6. Step 6: Final answer
    x = 518,141.68

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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.