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Finding the Third Proportional to 171,838 and 377,548

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Solution

The third proportional to 171,838 and 377,548 is: 829,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,838 : 377,548 = 377,548 : x
  2. Step 2: Convert to fraction form
    171,838/377,548 = 377,548/x
  3. Step 3: Cross multiply
    171,838x = 377,548 × 377,548
  4. Step 4: Simplify right side
    171,838x = 142,542,492,304
  5. Step 5: Solve for x
    x = 142,542,492,304/171,838
  6. Step 6: Final answer
    x = 829,516.71

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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.