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Finding the Third Proportional to 192,417.75 and 409,749.75

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Solution

The third proportional to 192,417.75 and 409,749.75 is: 872,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,417.75 : 409,749.75 = 409,749.75 : x
  2. Step 2: Convert to fraction form
    192,417.75/409,749.75 = 409,749.75/x
  3. Step 3: Cross multiply
    192,417.75x = 409,749.75 × 409,749.75
  4. Step 4: Simplify right side
    192,417.75x = 167,894,857,625.06
  5. Step 5: Solve for x
    x = 167,894,857,625.06/192,417.75
  6. Step 6: Final answer
    x = 872,553.90

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