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Finding the Third Proportional to 195,800 and 417,202

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Solution

The third proportional to 195,800 and 417,202 is: 888,955.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,800 : 417,202 = 417,202 : x
  2. Step 2: Convert to fraction form
    195,800/417,202 = 417,202/x
  3. Step 3: Cross multiply
    195,800x = 417,202 × 417,202
  4. Step 4: Simplify right side
    195,800x = 174,057,508,804
  5. Step 5: Solve for x
    x = 174,057,508,804/195,800
  6. Step 6: Final answer
    x = 888,955.61

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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.