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Finding the Third Proportional to 132,963 and 285,414

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Solution

The third proportional to 132,963 and 285,414 is: 612,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,963 : 285,414 = 285,414 : x
  2. Step 2: Convert to fraction form
    132,963/285,414 = 285,414/x
  3. Step 3: Cross multiply
    132,963x = 285,414 × 285,414
  4. Step 4: Simplify right side
    132,963x = 81,461,151,396
  5. Step 5: Solve for x
    x = 81,461,151,396/132,963
  6. Step 6: Final answer
    x = 612,660.30

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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.