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Finding the Third Proportional to 171,975.75 and 247,709.25

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Solution

The third proportional to 171,975.75 and 247,709.25 is: 356,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,975.75 : 247,709.25 = 247,709.25 : x
  2. Step 2: Convert to fraction form
    171,975.75/247,709.25 = 247,709.25/x
  3. Step 3: Cross multiply
    171,975.75x = 247,709.25 × 247,709.25
  4. Step 4: Simplify right side
    171,975.75x = 61,359,872,535.56
  5. Step 5: Solve for x
    x = 61,359,872,535.56/171,975.75
  6. Step 6: Final answer
    x = 356,793.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.