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Finding the Third Proportional to 199,154 and 437,692

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Solution

The third proportional to 199,154 and 437,692 is: 961,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,154 : 437,692 = 437,692 : x
  2. Step 2: Convert to fraction form
    199,154/437,692 = 437,692/x
  3. Step 3: Cross multiply
    199,154x = 437,692 × 437,692
  4. Step 4: Simplify right side
    199,154x = 191,574,286,864
  5. Step 5: Solve for x
    x = 191,574,286,864/199,154
  6. Step 6: Final answer
    x = 961,940.44

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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.