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Finding the Third Proportional to 271,918.50 and 420,177

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Solution

The third proportional to 271,918.50 and 420,177 is: 649,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,918.50 : 420,177 = 420,177 : x
  2. Step 2: Convert to fraction form
    271,918.50/420,177 = 420,177/x
  3. Step 3: Cross multiply
    271,918.50x = 420,177 × 420,177
  4. Step 4: Simplify right side
    271,918.50x = 176,548,711,329
  5. Step 5: Solve for x
    x = 176,548,711,329/271,918.50
  6. Step 6: Final answer
    x = 649,270.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.