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Finding the Third Proportional to 193,954.50 and 299,558.25

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Solution

The third proportional to 193,954.50 and 299,558.25 is: 462,660.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,954.50 : 299,558.25 = 299,558.25 : x
  2. Step 2: Convert to fraction form
    193,954.50/299,558.25 = 299,558.25/x
  3. Step 3: Cross multiply
    193,954.50x = 299,558.25 × 299,558.25
  4. Step 4: Simplify right side
    193,954.50x = 89,735,145,143.06
  5. Step 5: Solve for x
    x = 89,735,145,143.06/193,954.50
  6. Step 6: Final answer
    x = 462,660.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.