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Finding the Third Proportional to 131,162 and 284,354

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Solution

The third proportional to 131,162 and 284,354 is: 616,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,162 : 284,354 = 284,354 : x
  2. Step 2: Convert to fraction form
    131,162/284,354 = 284,354/x
  3. Step 3: Cross multiply
    131,162x = 284,354 × 284,354
  4. Step 4: Simplify right side
    131,162x = 80,857,197,316
  5. Step 5: Solve for x
    x = 80,857,197,316/131,162
  6. Step 6: Final answer
    x = 616,468.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.