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Finding the Third Proportional to 221,472 and 334,512

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Solution

The third proportional to 221,472 and 334,512 is: 505,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,472 : 334,512 = 334,512 : x
  2. Step 2: Convert to fraction form
    221,472/334,512 = 334,512/x
  3. Step 3: Cross multiply
    221,472x = 334,512 × 334,512
  4. Step 4: Simplify right side
    221,472x = 111,898,278,144
  5. Step 5: Solve for x
    x = 111,898,278,144/221,472
  6. Step 6: Final answer
    x = 505,247.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.