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Finding the Third Proportional to 150,036 and 354,168

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Solution

The third proportional to 150,036 and 354,168 is: 836,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,036 : 354,168 = 354,168 : x
  2. Step 2: Convert to fraction form
    150,036/354,168 = 354,168/x
  3. Step 3: Cross multiply
    150,036x = 354,168 × 354,168
  4. Step 4: Simplify right side
    150,036x = 125,434,972,224
  5. Step 5: Solve for x
    x = 125,434,972,224/150,036
  6. Step 6: Final answer
    x = 836,032.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.