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Finding the Third Proportional to 230,910 and 345,438

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Solution

The third proportional to 230,910 and 345,438 is: 516,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,910 : 345,438 = 345,438 : x
  2. Step 2: Convert to fraction form
    230,910/345,438 = 345,438/x
  3. Step 3: Cross multiply
    230,910x = 345,438 × 345,438
  4. Step 4: Simplify right side
    230,910x = 119,327,411,844
  5. Step 5: Solve for x
    x = 119,327,411,844/230,910
  6. Step 6: Final answer
    x = 516,770.22

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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.