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Finding the Third Proportional to 232,224 and 347,436

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Solution

The third proportional to 232,224 and 347,436 is: 519,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,224 : 347,436 = 347,436 : x
  2. Step 2: Convert to fraction form
    232,224/347,436 = 347,436/x
  3. Step 3: Cross multiply
    232,224x = 347,436 × 347,436
  4. Step 4: Simplify right side
    232,224x = 120,711,774,096
  5. Step 5: Solve for x
    x = 120,711,774,096/232,224
  6. Step 6: Final answer
    x = 519,807.49

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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.