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Finding the Third Proportional to 181,371 and 388,950

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Solution

The third proportional to 181,371 and 388,950 is: 834,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,371 : 388,950 = 388,950 : x
  2. Step 2: Convert to fraction form
    181,371/388,950 = 388,950/x
  3. Step 3: Cross multiply
    181,371x = 388,950 × 388,950
  4. Step 4: Simplify right side
    181,371x = 151,282,102,500
  5. Step 5: Solve for x
    x = 151,282,102,500/181,371
  6. Step 6: Final answer
    x = 834,103.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.