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Finding the Third Proportional to 132,296.41 and 285,813.56

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Solution

The third proportional to 132,296.41 and 285,813.56 is: 617,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,296.41 : 285,813.56 = 285,813.56 : x
  2. Step 2: Convert to fraction form
    132,296.41/285,813.56 = 285,813.56/x
  3. Step 3: Cross multiply
    132,296.41x = 285,813.56 × 285,813.56
  4. Step 4: Simplify right side
    132,296.41x = 81,689,392,508.94
  5. Step 5: Solve for x
    x = 81,689,392,508.94/132,296.41
  6. Step 6: Final answer
    x = 617,472.46

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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.