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Finding the Third Proportional to 188,354 and 284,451

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Solution

The third proportional to 188,354 and 284,451 is: 429,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,354 : 284,451 = 284,451 : x
  2. Step 2: Convert to fraction form
    188,354/284,451 = 284,451/x
  3. Step 3: Cross multiply
    188,354x = 284,451 × 284,451
  4. Step 4: Simplify right side
    188,354x = 80,912,371,401
  5. Step 5: Solve for x
    x = 80,912,371,401/188,354
  6. Step 6: Final answer
    x = 429,576.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.