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Finding the Third Proportional to 198,468 and 468,126

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Solution

The third proportional to 198,468 and 468,126 is: 1,104,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,468 : 468,126 = 468,126 : x
  2. Step 2: Convert to fraction form
    198,468/468,126 = 468,126/x
  3. Step 3: Cross multiply
    198,468x = 468,126 × 468,126
  4. Step 4: Simplify right side
    198,468x = 219,141,951,876
  5. Step 5: Solve for x
    x = 219,141,951,876/198,468
  6. Step 6: Final answer
    x = 1,104,167.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.