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Finding the Third Proportional to 150,862 and 227,831.50

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Solution

The third proportional to 150,862 and 227,831.50 is: 344,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,862 : 227,831.50 = 227,831.50 : x
  2. Step 2: Convert to fraction form
    150,862/227,831.50 = 227,831.50/x
  3. Step 3: Cross multiply
    150,862x = 227,831.50 × 227,831.50
  4. Step 4: Simplify right side
    150,862x = 51,907,192,392.25
  5. Step 5: Solve for x
    x = 51,907,192,392.25/150,862
  6. Step 6: Final answer
    x = 344,070.69

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