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Finding the Third Proportional to 193,660.50 and 417,912

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Solution

The third proportional to 193,660.50 and 417,912 is: 901,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,660.50 : 417,912 = 417,912 : x
  2. Step 2: Convert to fraction form
    193,660.50/417,912 = 417,912/x
  3. Step 3: Cross multiply
    193,660.50x = 417,912 × 417,912
  4. Step 4: Simplify right side
    193,660.50x = 174,650,439,744
  5. Step 5: Solve for x
    x = 174,650,439,744/193,660.50
  6. Step 6: Final answer
    x = 901,838.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.