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Finding the Third Proportional to 197,538 and 282,277

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Solution

The third proportional to 197,538 and 282,277 is: 403,366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,538 : 282,277 = 282,277 : x
  2. Step 2: Convert to fraction form
    197,538/282,277 = 282,277/x
  3. Step 3: Cross multiply
    197,538x = 282,277 × 282,277
  4. Step 4: Simplify right side
    197,538x = 79,680,304,729
  5. Step 5: Solve for x
    x = 79,680,304,729/197,538
  6. Step 6: Final answer
    x = 403,366.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.