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Finding the Third Proportional to 199,701 and 434,394

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Solution

The third proportional to 199,701 and 434,394 is: 944,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,701 : 434,394 = 434,394 : x
  2. Step 2: Convert to fraction form
    199,701/434,394 = 434,394/x
  3. Step 3: Cross multiply
    199,701x = 434,394 × 434,394
  4. Step 4: Simplify right side
    199,701x = 188,698,147,236
  5. Step 5: Solve for x
    x = 188,698,147,236/199,701
  6. Step 6: Final answer
    x = 944,903.37

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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.