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Finding the Third Proportional to 171,718 and 377,692

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Solution

The third proportional to 171,718 and 377,692 is: 830,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,718 : 377,692 = 377,692 : x
  2. Step 2: Convert to fraction form
    171,718/377,692 = 377,692/x
  3. Step 3: Cross multiply
    171,718x = 377,692 × 377,692
  4. Step 4: Simplify right side
    171,718x = 142,651,246,864
  5. Step 5: Solve for x
    x = 142,651,246,864/171,718
  6. Step 6: Final answer
    x = 830,729.72

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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.