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Finding the Third Proportional to 171,709.50 and 377,676

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Solution

The third proportional to 171,709.50 and 377,676 is: 830,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,709.50 : 377,676 = 377,676 : x
  2. Step 2: Convert to fraction form
    171,709.50/377,676 = 377,676/x
  3. Step 3: Cross multiply
    171,709.50x = 377,676 × 377,676
  4. Step 4: Simplify right side
    171,709.50x = 142,639,160,976
  5. Step 5: Solve for x
    x = 142,639,160,976/171,709.50
  6. Step 6: Final answer
    x = 830,700.46

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