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Finding the Third Proportional to 171,711 and 377,679

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Solution

The third proportional to 171,711 and 377,679 is: 830,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,711 : 377,679 = 377,679 : x
  2. Step 2: Convert to fraction form
    171,711/377,679 = 377,679/x
  3. Step 3: Cross multiply
    171,711x = 377,679 × 377,679
  4. Step 4: Simplify right side
    171,711x = 142,641,427,041
  5. Step 5: Solve for x
    x = 142,641,427,041/171,711
  6. Step 6: Final answer
    x = 830,706.40

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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.