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Finding the Third Proportional to 120,906 and 263,317.50

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Solution

The third proportional to 120,906 and 263,317.50 is: 573,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,906 : 263,317.50 = 263,317.50 : x
  2. Step 2: Convert to fraction form
    120,906/263,317.50 = 263,317.50/x
  3. Step 3: Cross multiply
    120,906x = 263,317.50 × 263,317.50
  4. Step 4: Simplify right side
    120,906x = 69,336,105,806.25
  5. Step 5: Solve for x
    x = 69,336,105,806.25/120,906
  6. Step 6: Final answer
    x = 573,471.17

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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.