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Finding the Third Proportional to 197,927.50 and 426,958.75

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Solution

The third proportional to 197,927.50 and 426,958.75 is: 921,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,927.50 : 426,958.75 = 426,958.75 : x
  2. Step 2: Convert to fraction form
    197,927.50/426,958.75 = 426,958.75/x
  3. Step 3: Cross multiply
    197,927.50x = 426,958.75 × 426,958.75
  4. Step 4: Simplify right side
    197,927.50x = 182,293,774,201.56
  5. Step 5: Solve for x
    x = 182,293,774,201.56/197,927.50
  6. Step 6: Final answer
    x = 921,012.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.