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Finding the Third Proportional to 101,846 and 223,374

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Solution

The third proportional to 101,846 and 223,374 is: 489,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,846 : 223,374 = 223,374 : x
  2. Step 2: Convert to fraction form
    101,846/223,374 = 223,374/x
  3. Step 3: Cross multiply
    101,846x = 223,374 × 223,374
  4. Step 4: Simplify right side
    101,846x = 49,895,943,876
  5. Step 5: Solve for x
    x = 49,895,943,876/101,846
  6. Step 6: Final answer
    x = 489,915.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.