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Finding the Third Proportional to 150,028.50 and 354,153

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Solution

The third proportional to 150,028.50 and 354,153 is: 836,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,028.50 : 354,153 = 354,153 : x
  2. Step 2: Convert to fraction form
    150,028.50/354,153 = 354,153/x
  3. Step 3: Cross multiply
    150,028.50x = 354,153 × 354,153
  4. Step 4: Simplify right side
    150,028.50x = 125,424,347,409
  5. Step 5: Solve for x
    x = 125,424,347,409/150,028.50
  6. Step 6: Final answer
    x = 836,003.48

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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.