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Finding the Third Proportional to 193,954.50 and 289,757.25

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Solution

The third proportional to 193,954.50 and 289,757.25 is: 432,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,954.50 : 289,757.25 = 289,757.25 : x
  2. Step 2: Convert to fraction form
    193,954.50/289,757.25 = 289,757.25/x
  3. Step 3: Cross multiply
    193,954.50x = 289,757.25 × 289,757.25
  4. Step 4: Simplify right side
    193,954.50x = 83,959,263,927.56
  5. Step 5: Solve for x
    x = 83,959,263,927.56/193,954.50
  6. Step 6: Final answer
    x = 432,881.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.