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Finding the Third Proportional to 132,096 and 284,832

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Solution

The third proportional to 132,096 and 284,832 is: 614,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,096 : 284,832 = 284,832 : x
  2. Step 2: Convert to fraction form
    132,096/284,832 = 284,832/x
  3. Step 3: Cross multiply
    132,096x = 284,832 × 284,832
  4. Step 4: Simplify right side
    132,096x = 81,129,268,224
  5. Step 5: Solve for x
    x = 81,129,268,224/132,096
  6. Step 6: Final answer
    x = 614,169

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.