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Finding the Third Proportional to 197,473 and 282,193

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Solution

The third proportional to 197,473 and 282,193 is: 403,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,473 : 282,193 = 282,193 : x
  2. Step 2: Convert to fraction form
    197,473/282,193 = 282,193/x
  3. Step 3: Cross multiply
    197,473x = 282,193 × 282,193
  4. Step 4: Simplify right side
    197,473x = 79,632,889,249
  5. Step 5: Solve for x
    x = 79,632,889,249/197,473
  6. Step 6: Final answer
    x = 403,259.63

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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.