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Finding the Third Proportional to 171,972 and 377,832

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Solution

The third proportional to 171,972 and 377,832 is: 830,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,972 : 377,832 = 377,832 : x
  2. Step 2: Convert to fraction form
    171,972/377,832 = 377,832/x
  3. Step 3: Cross multiply
    171,972x = 377,832 × 377,832
  4. Step 4: Simplify right side
    171,972x = 142,757,020,224
  5. Step 5: Solve for x
    x = 142,757,020,224/171,972
  6. Step 6: Final answer
    x = 830,117.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.