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Finding the Third Proportional to 168,202 and 358,204

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Solution

The third proportional to 168,202 and 358,204 is: 762,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,202 : 358,204 = 358,204 : x
  2. Step 2: Convert to fraction form
    168,202/358,204 = 358,204/x
  3. Step 3: Cross multiply
    168,202x = 358,204 × 358,204
  4. Step 4: Simplify right side
    168,202x = 128,310,105,616
  5. Step 5: Solve for x
    x = 128,310,105,616/168,202
  6. Step 6: Final answer
    x = 762,833.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.