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Finding the Third Proportional to 171,844.50 and 377,310

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Solution

The third proportional to 171,844.50 and 377,310 is: 828,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,844.50 : 377,310 = 377,310 : x
  2. Step 2: Convert to fraction form
    171,844.50/377,310 = 377,310/x
  3. Step 3: Cross multiply
    171,844.50x = 377,310 × 377,310
  4. Step 4: Simplify right side
    171,844.50x = 142,362,836,100
  5. Step 5: Solve for x
    x = 142,362,836,100/171,844.50
  6. Step 6: Final answer
    x = 828,439.88

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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.