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Finding the Third Proportional to 197,235.50 and 279,086.25

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Solution

The third proportional to 197,235.50 and 279,086.25 is: 394,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,235.50 : 279,086.25 = 279,086.25 : x
  2. Step 2: Convert to fraction form
    197,235.50/279,086.25 = 279,086.25/x
  3. Step 3: Cross multiply
    197,235.50x = 279,086.25 × 279,086.25
  4. Step 4: Simplify right side
    197,235.50x = 77,889,134,939.06
  5. Step 5: Solve for x
    x = 77,889,134,939.06/197,235.50
  6. Step 6: Final answer
    x = 394,904.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.