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Finding the Third Proportional to 73,831.50 and 157,329

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Solution

The third proportional to 73,831.50 and 157,329 is: 335,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,831.50 : 157,329 = 157,329 : x
  2. Step 2: Convert to fraction form
    73,831.50/157,329 = 157,329/x
  3. Step 3: Cross multiply
    73,831.50x = 157,329 × 157,329
  4. Step 4: Simplify right side
    73,831.50x = 24,752,414,241
  5. Step 5: Solve for x
    x = 24,752,414,241/73,831.50
  6. Step 6: Final answer
    x = 335,255.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.