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Finding the Third Proportional to 120,545.25 and 262,520.63

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Solution

The third proportional to 120,545.25 and 262,520.63 is: 571,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,545.25 : 262,520.63 = 262,520.63 : x
  2. Step 2: Convert to fraction form
    120,545.25/262,520.63 = 262,520.63/x
  3. Step 3: Cross multiply
    120,545.25x = 262,520.63 × 262,520.63
  4. Step 4: Simplify right side
    120,545.25x = 68,917,078,550.39
  5. Step 5: Solve for x
    x = 68,917,078,550.39/120,545.25
  6. Step 6: Final answer
    x = 571,711.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.