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Finding the Third Proportional to 209,395.13 and 333,517.50

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Solution

The third proportional to 209,395.13 and 333,517.50 is: 531,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,395.13 : 333,517.50 = 333,517.50 : x
  2. Step 2: Convert to fraction form
    209,395.13/333,517.50 = 333,517.50/x
  3. Step 3: Cross multiply
    209,395.13x = 333,517.50 × 333,517.50
  4. Step 4: Simplify right side
    209,395.13x = 111,233,922,806.25
  5. Step 5: Solve for x
    x = 111,233,922,806.25/209,395.13
  6. Step 6: Final answer
    x = 531,215.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.