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Finding the Third Proportional to 120,511.13 and 285,513.19

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Solution

The third proportional to 120,511.13 and 285,513.19 is: 676,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,511.13 : 285,513.19 = 285,513.19 : x
  2. Step 2: Convert to fraction form
    120,511.13/285,513.19 = 285,513.19/x
  3. Step 3: Cross multiply
    120,511.13x = 285,513.19 × 285,513.19
  4. Step 4: Simplify right side
    120,511.13x = 81,517,780,236.41
  5. Step 5: Solve for x
    x = 81,517,780,236.41/120,511.13
  6. Step 6: Final answer
    x = 676,433.65

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.