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Finding the Third Proportional to 200,106 and 355,843

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Solution

The third proportional to 200,106 and 355,843 is: 632,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,106 : 355,843 = 355,843 : x
  2. Step 2: Convert to fraction form
    200,106/355,843 = 355,843/x
  3. Step 3: Cross multiply
    200,106x = 355,843 × 355,843
  4. Step 4: Simplify right side
    200,106x = 126,624,240,649
  5. Step 5: Solve for x
    x = 126,624,240,649/200,106
  6. Step 6: Final answer
    x = 632,785.83

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.