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Finding the Third Proportional to 199,574 and 236,479

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Solution

The third proportional to 199,574 and 236,479 is: 280,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,574 : 236,479 = 236,479 : x
  2. Step 2: Convert to fraction form
    199,574/236,479 = 236,479/x
  3. Step 3: Cross multiply
    199,574x = 236,479 × 236,479
  4. Step 4: Simplify right side
    199,574x = 55,922,317,441
  5. Step 5: Solve for x
    x = 55,922,317,441/199,574
  6. Step 6: Final answer
    x = 280,208.43

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.