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Finding the Third Proportional to 199,100 and 437,566

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Solution

The third proportional to 199,100 and 437,566 is: 961,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,100 : 437,566 = 437,566 : x
  2. Step 2: Convert to fraction form
    199,100/437,566 = 437,566/x
  3. Step 3: Cross multiply
    199,100x = 437,566 × 437,566
  4. Step 4: Simplify right side
    199,100x = 191,464,004,356
  5. Step 5: Solve for x
    x = 191,464,004,356/199,100
  6. Step 6: Final answer
    x = 961,647.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.