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Finding the Third Proportional to 232,226 and 347,475

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Solution

The third proportional to 232,226 and 347,475 is: 519,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,226 : 347,475 = 347,475 : x
  2. Step 2: Convert to fraction form
    232,226/347,475 = 347,475/x
  3. Step 3: Cross multiply
    232,226x = 347,475 × 347,475
  4. Step 4: Simplify right side
    232,226x = 120,738,875,625
  5. Step 5: Solve for x
    x = 120,738,875,625/232,226
  6. Step 6: Final answer
    x = 519,919.71

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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.