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Finding the Third Proportional to 229,598 and 345,274

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Solution

The third proportional to 229,598 and 345,274 is: 519,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,598 : 345,274 = 345,274 : x
  2. Step 2: Convert to fraction form
    229,598/345,274 = 345,274/x
  3. Step 3: Cross multiply
    229,598x = 345,274 × 345,274
  4. Step 4: Simplify right side
    229,598x = 119,214,135,076
  5. Step 5: Solve for x
    x = 119,214,135,076/229,598
  6. Step 6: Final answer
    x = 519,229.85

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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.