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Finding the Third Proportional to 132,948 and 285,384

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Solution

The third proportional to 132,948 and 285,384 is: 612,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,948 : 285,384 = 285,384 : x
  2. Step 2: Convert to fraction form
    132,948/285,384 = 285,384/x
  3. Step 3: Cross multiply
    132,948x = 285,384 × 285,384
  4. Step 4: Simplify right side
    132,948x = 81,444,027,456
  5. Step 5: Solve for x
    x = 81,444,027,456/132,948
  6. Step 6: Final answer
    x = 612,600.62

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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.