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Finding the Third Proportional to 149,152 and 227,616

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Solution

The third proportional to 149,152 and 227,616 is: 347,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,152 : 227,616 = 227,616 : x
  2. Step 2: Convert to fraction form
    149,152/227,616 = 227,616/x
  3. Step 3: Cross multiply
    149,152x = 227,616 × 227,616
  4. Step 4: Simplify right side
    149,152x = 51,809,043,456
  5. Step 5: Solve for x
    x = 51,809,043,456/149,152
  6. Step 6: Final answer
    x = 347,357.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.