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Finding the Third Proportional to 198,474 and 468,141

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Solution

The third proportional to 198,474 and 468,141 is: 1,104,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,474 : 468,141 = 468,141 : x
  2. Step 2: Convert to fraction form
    198,474/468,141 = 468,141/x
  3. Step 3: Cross multiply
    198,474x = 468,141 × 468,141
  4. Step 4: Simplify right side
    198,474x = 219,155,995,881
  5. Step 5: Solve for x
    x = 219,155,995,881/198,474
  6. Step 6: Final answer
    x = 1,104,205.06

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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.