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Finding the Third Proportional to 159,951 and 345,517.50

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Solution

The third proportional to 159,951 and 345,517.50 is: 746,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,951 : 345,517.50 = 345,517.50 : x
  2. Step 2: Convert to fraction form
    159,951/345,517.50 = 345,517.50/x
  3. Step 3: Cross multiply
    159,951x = 345,517.50 × 345,517.50
  4. Step 4: Simplify right side
    159,951x = 119,382,342,806.25
  5. Step 5: Solve for x
    x = 119,382,342,806.25/159,951
  6. Step 6: Final answer
    x = 746,368.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.