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Finding the Third Proportional to 197,536 and 282,274

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Solution

The third proportional to 197,536 and 282,274 is: 403,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,536 : 282,274 = 282,274 : x
  2. Step 2: Convert to fraction form
    197,536/282,274 = 282,274/x
  3. Step 3: Cross multiply
    197,536x = 282,274 × 282,274
  4. Step 4: Simplify right side
    197,536x = 79,678,611,076
  5. Step 5: Solve for x
    x = 79,678,611,076/197,536
  6. Step 6: Final answer
    x = 403,362.48

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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.