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Finding the Third Proportional to 193,106.25 and 288,564.75

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Solution

The third proportional to 193,106.25 and 288,564.75 is: 431,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,106.25 : 288,564.75 = 288,564.75 : x
  2. Step 2: Convert to fraction form
    193,106.25/288,564.75 = 288,564.75/x
  3. Step 3: Cross multiply
    193,106.25x = 288,564.75 × 288,564.75
  4. Step 4: Simplify right side
    193,106.25x = 83,269,614,942.56
  5. Step 5: Solve for x
    x = 83,269,614,942.56/193,106.25
  6. Step 6: Final answer
    x = 431,211.39

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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.