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Finding the Third Proportional to 132,232 and 274,616

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Solution

The third proportional to 132,232 and 274,616 is: 570,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,232 : 274,616 = 274,616 : x
  2. Step 2: Convert to fraction form
    132,232/274,616 = 274,616/x
  3. Step 3: Cross multiply
    132,232x = 274,616 × 274,616
  4. Step 4: Simplify right side
    132,232x = 75,413,947,456
  5. Step 5: Solve for x
    x = 75,413,947,456/132,232
  6. Step 6: Final answer
    x = 570,315.41

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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.