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Finding the Third Proportional to 165,831.75 and 250,134.75

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Solution

The third proportional to 165,831.75 and 250,134.75 is: 377,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,831.75 : 250,134.75 = 250,134.75 : x
  2. Step 2: Convert to fraction form
    165,831.75/250,134.75 = 250,134.75/x
  3. Step 3: Cross multiply
    165,831.75x = 250,134.75 × 250,134.75
  4. Step 4: Simplify right side
    165,831.75x = 62,567,393,157.56
  5. Step 5: Solve for x
    x = 62,567,393,157.56/165,831.75
  6. Step 6: Final answer
    x = 377,294.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.