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Finding the Third Proportional to 232,228 and 347,478

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Solution

The third proportional to 232,228 and 347,478 is: 519,924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,228 : 347,478 = 347,478 : x
  2. Step 2: Convert to fraction form
    232,228/347,478 = 347,478/x
  3. Step 3: Cross multiply
    232,228x = 347,478 × 347,478
  4. Step 4: Simplify right side
    232,228x = 120,740,960,484
  5. Step 5: Solve for x
    x = 120,740,960,484/232,228
  6. Step 6: Final answer
    x = 519,924.21

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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.