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Finding the Third Proportional to 171,723 and 377,700

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Solution

The third proportional to 171,723 and 377,700 is: 830,740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,723 : 377,700 = 377,700 : x
  2. Step 2: Convert to fraction form
    171,723/377,700 = 377,700/x
  3. Step 3: Cross multiply
    171,723x = 377,700 × 377,700
  4. Step 4: Simplify right side
    171,723x = 142,657,290,000
  5. Step 5: Solve for x
    x = 142,657,290,000/171,723
  6. Step 6: Final answer
    x = 830,740.73

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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.