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Finding the Third Proportional to 146,128.50 and 303,737.25

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Solution

The third proportional to 146,128.50 and 303,737.25 is: 631,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,128.50 : 303,737.25 = 303,737.25 : x
  2. Step 2: Convert to fraction form
    146,128.50/303,737.25 = 303,737.25/x
  3. Step 3: Cross multiply
    146,128.50x = 303,737.25 × 303,737.25
  4. Step 4: Simplify right side
    146,128.50x = 92,256,317,037.56
  5. Step 5: Solve for x
    x = 92,256,317,037.56/146,128.50
  6. Step 6: Final answer
    x = 631,336.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.