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Finding the Third Proportional to 197,571 and 282,324

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Solution

The third proportional to 197,571 and 282,324 is: 403,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,571 : 282,324 = 282,324 : x
  2. Step 2: Convert to fraction form
    197,571/282,324 = 282,324/x
  3. Step 3: Cross multiply
    197,571x = 282,324 × 282,324
  4. Step 4: Simplify right side
    197,571x = 79,706,840,976
  5. Step 5: Solve for x
    x = 79,706,840,976/197,571
  6. Step 6: Final answer
    x = 403,433.91

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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.