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Finding the Third Proportional to 193,104 and 403,863.75

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Solution

The third proportional to 193,104 and 403,863.75 is: 844,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,104 : 403,863.75 = 403,863.75 : x
  2. Step 2: Convert to fraction form
    193,104/403,863.75 = 403,863.75/x
  3. Step 3: Cross multiply
    193,104x = 403,863.75 × 403,863.75
  4. Step 4: Simplify right side
    193,104x = 163,105,928,564.06
  5. Step 5: Solve for x
    x = 163,105,928,564.06/193,104
  6. Step 6: Final answer
    x = 844,653.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.