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Finding the Third Proportional to 198,373 and 468,206

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Solution

The third proportional to 198,373 and 468,206 is: 1,105,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,373 : 468,206 = 468,206 : x
  2. Step 2: Convert to fraction form
    198,373/468,206 = 468,206/x
  3. Step 3: Cross multiply
    198,373x = 468,206 × 468,206
  4. Step 4: Simplify right side
    198,373x = 219,216,858,436
  5. Step 5: Solve for x
    x = 219,216,858,436/198,373
  6. Step 6: Final answer
    x = 1,105,074.07

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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.