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Finding the Third Proportional to 198,072 and 282,204

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Solution

The third proportional to 198,072 and 282,204 is: 402,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,072 : 282,204 = 282,204 : x
  2. Step 2: Convert to fraction form
    198,072/282,204 = 282,204/x
  3. Step 3: Cross multiply
    198,072x = 282,204 × 282,204
  4. Step 4: Simplify right side
    198,072x = 79,639,097,616
  5. Step 5: Solve for x
    x = 79,639,097,616/198,072
  6. Step 6: Final answer
    x = 402,071.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.