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Finding the Third Proportional to 132,538 and 284,852

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Solution

The third proportional to 132,538 and 284,852 is: 612,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,538 : 284,852 = 284,852 : x
  2. Step 2: Convert to fraction form
    132,538/284,852 = 284,852/x
  3. Step 3: Cross multiply
    132,538x = 284,852 × 284,852
  4. Step 4: Simplify right side
    132,538x = 81,140,661,904
  5. Step 5: Solve for x
    x = 81,140,661,904/132,538
  6. Step 6: Final answer
    x = 612,206.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.