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Finding the Third Proportional to 193,831.42 and 250,766.03

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Solution

The third proportional to 193,831.42 and 250,766.03 is: 324,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,831.42 : 250,766.03 = 250,766.03 : x
  2. Step 2: Convert to fraction form
    193,831.42/250,766.03 = 250,766.03/x
  3. Step 3: Cross multiply
    193,831.42x = 250,766.03 × 250,766.03
  4. Step 4: Simplify right side
    193,831.42x = 62,883,603,408.43
  5. Step 5: Solve for x
    x = 62,883,603,408.43/193,831.42
  6. Step 6: Final answer
    x = 324,424.20

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.