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Finding the Third Proportional to 193,802 and 417,172

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Solution

The third proportional to 193,802 and 417,172 is: 897,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,802 : 417,172 = 417,172 : x
  2. Step 2: Convert to fraction form
    193,802/417,172 = 417,172/x
  3. Step 3: Cross multiply
    193,802x = 417,172 × 417,172
  4. Step 4: Simplify right side
    193,802x = 174,032,477,584
  5. Step 5: Solve for x
    x = 174,032,477,584/193,802
  6. Step 6: Final answer
    x = 897,991.13

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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.