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Finding the Third Proportional to 232,224 and 347,472

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Solution

The third proportional to 232,224 and 347,472 is: 519,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,224 : 347,472 = 347,472 : x
  2. Step 2: Convert to fraction form
    232,224/347,472 = 347,472/x
  3. Step 3: Cross multiply
    232,224x = 347,472 × 347,472
  4. Step 4: Simplify right side
    232,224x = 120,736,790,784
  5. Step 5: Solve for x
    x = 120,736,790,784/232,224
  6. Step 6: Final answer
    x = 519,915.21

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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.