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Finding the Third Proportional to 195,268.50 and 426,177

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Solution

The third proportional to 195,268.50 and 426,177 is: 930,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,268.50 : 426,177 = 426,177 : x
  2. Step 2: Convert to fraction form
    195,268.50/426,177 = 426,177/x
  3. Step 3: Cross multiply
    195,268.50x = 426,177 × 426,177
  4. Step 4: Simplify right side
    195,268.50x = 181,626,835,329
  5. Step 5: Solve for x
    x = 181,626,835,329/195,268.50
  6. Step 6: Final answer
    x = 930,138.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.