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Finding the Third Proportional to 193,247.44 and 288,982.69

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Solution

The third proportional to 193,247.44 and 288,982.69 is: 432,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,247.44 : 288,982.69 = 288,982.69 : x
  2. Step 2: Convert to fraction form
    193,247.44/288,982.69 = 288,982.69/x
  3. Step 3: Cross multiply
    193,247.44x = 288,982.69 × 288,982.69
  4. Step 4: Simplify right side
    193,247.44x = 83,510,993,674.72
  5. Step 5: Solve for x
    x = 83,510,993,674.72/193,247.44
  6. Step 6: Final answer
    x = 432,145.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.