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Finding the Third Proportional to 197,416 and 281,358

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Solution

The third proportional to 197,416 and 281,358 is: 400,992.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,416 : 281,358 = 281,358 : x
  2. Step 2: Convert to fraction form
    197,416/281,358 = 281,358/x
  3. Step 3: Cross multiply
    197,416x = 281,358 × 281,358
  4. Step 4: Simplify right side
    197,416x = 79,162,324,164
  5. Step 5: Solve for x
    x = 79,162,324,164/197,416
  6. Step 6: Final answer
    x = 400,992.44

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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.