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Finding the Third Proportional to 193,804 and 417,176

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Solution

The third proportional to 193,804 and 417,176 is: 897,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,804 : 417,176 = 417,176 : x
  2. Step 2: Convert to fraction form
    193,804/417,176 = 417,176/x
  3. Step 3: Cross multiply
    193,804x = 417,176 × 417,176
  4. Step 4: Simplify right side
    193,804x = 174,035,814,976
  5. Step 5: Solve for x
    x = 174,035,814,976/193,804
  6. Step 6: Final answer
    x = 897,999.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.