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Finding the Third Proportional to 153,636.75 and 333,517.50

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Solution

The third proportional to 153,636.75 and 333,517.50 is: 724,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,636.75 : 333,517.50 = 333,517.50 : x
  2. Step 2: Convert to fraction form
    153,636.75/333,517.50 = 333,517.50/x
  3. Step 3: Cross multiply
    153,636.75x = 333,517.50 × 333,517.50
  4. Step 4: Simplify right side
    153,636.75x = 111,233,922,806.25
  5. Step 5: Solve for x
    x = 111,233,922,806.25/153,636.75
  6. Step 6: Final answer
    x = 724,005.96

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