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Finding the Third Proportional to 230,997 and 345,552

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Solution

The third proportional to 230,997 and 345,552 is: 516,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,997 : 345,552 = 345,552 : x
  2. Step 2: Convert to fraction form
    230,997/345,552 = 345,552/x
  3. Step 3: Cross multiply
    230,997x = 345,552 × 345,552
  4. Step 4: Simplify right side
    230,997x = 119,406,184,704
  5. Step 5: Solve for x
    x = 119,406,184,704/230,997
  6. Step 6: Final answer
    x = 516,916.60

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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.