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Finding the Third Proportional to 199,682 and 434,354

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Solution

The third proportional to 199,682 and 434,354 is: 944,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,682 : 434,354 = 434,354 : x
  2. Step 2: Convert to fraction form
    199,682/434,354 = 434,354/x
  3. Step 3: Cross multiply
    199,682x = 434,354 × 434,354
  4. Step 4: Simplify right side
    199,682x = 188,663,397,316
  5. Step 5: Solve for x
    x = 188,663,397,316/199,682
  6. Step 6: Final answer
    x = 944,819.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.