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Finding the Third Proportional to 101,834 and 219,340

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Solution

The third proportional to 101,834 and 219,340 is: 472,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,834 : 219,340 = 219,340 : x
  2. Step 2: Convert to fraction form
    101,834/219,340 = 219,340/x
  3. Step 3: Cross multiply
    101,834x = 219,340 × 219,340
  4. Step 4: Simplify right side
    101,834x = 48,110,035,600
  5. Step 5: Solve for x
    x = 48,110,035,600/101,834
  6. Step 6: Final answer
    x = 472,435.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.