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Finding the Third Proportional to 120,723.54 and 262,206.49

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Solution

The third proportional to 120,723.54 and 262,206.49 is: 569,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,723.54 : 262,206.49 = 262,206.49 : x
  2. Step 2: Convert to fraction form
    120,723.54/262,206.49 = 262,206.49/x
  3. Step 3: Cross multiply
    120,723.54x = 262,206.49 × 262,206.49
  4. Step 4: Simplify right side
    120,723.54x = 68,752,244,545.27
  5. Step 5: Solve for x
    x = 68,752,244,545.27/120,723.54
  6. Step 6: Final answer
    x = 569,501.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.