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Finding the Third Proportional to 149,200.73 and 305,295.33

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Solution

The third proportional to 149,200.73 and 305,295.33 is: 624,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,200.73 : 305,295.33 = 305,295.33 : x
  2. Step 2: Convert to fraction form
    149,200.73/305,295.33 = 305,295.33/x
  3. Step 3: Cross multiply
    149,200.73x = 305,295.33 × 305,295.33
  4. Step 4: Simplify right side
    149,200.73x = 93,205,237,374.95
  5. Step 5: Solve for x
    x = 93,205,237,374.95/149,200.73
  6. Step 6: Final answer
    x = 624,696.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.