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Finding the Third Proportional to 181,224 and 368,451

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Solution

The third proportional to 181,224 and 368,451 is: 749,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,224 : 368,451 = 368,451 : x
  2. Step 2: Convert to fraction form
    181,224/368,451 = 368,451/x
  3. Step 3: Cross multiply
    181,224x = 368,451 × 368,451
  4. Step 4: Simplify right side
    181,224x = 135,756,139,401
  5. Step 5: Solve for x
    x = 135,756,139,401/181,224
  6. Step 6: Final answer
    x = 749,106.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.