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Finding the Third Proportional to 171,969.75 and 247,700.25

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Solution

The third proportional to 171,969.75 and 247,700.25 is: 356,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,969.75 : 247,700.25 = 247,700.25 : x
  2. Step 2: Convert to fraction form
    171,969.75/247,700.25 = 247,700.25/x
  3. Step 3: Cross multiply
    171,969.75x = 247,700.25 × 247,700.25
  4. Step 4: Simplify right side
    171,969.75x = 61,355,413,850.06
  5. Step 5: Solve for x
    x = 61,355,413,850.06/171,969.75
  6. Step 6: Final answer
    x = 356,780.27

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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.