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Finding the Third Proportional to 197,406 and 281,345.25

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Solution

The third proportional to 197,406 and 281,345.25 is: 400,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,406 : 281,345.25 = 281,345.25 : x
  2. Step 2: Convert to fraction form
    197,406/281,345.25 = 281,345.25/x
  3. Step 3: Cross multiply
    197,406x = 281,345.25 × 281,345.25
  4. Step 4: Simplify right side
    197,406x = 79,155,149,697.56
  5. Step 5: Solve for x
    x = 79,155,149,697.56/197,406
  6. Step 6: Final answer
    x = 400,976.41

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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.