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Finding the Third Proportional to 146,162.25 and 315,639

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Solution

The third proportional to 146,162.25 and 315,639 is: 681,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,162.25 : 315,639 = 315,639 : x
  2. Step 2: Convert to fraction form
    146,162.25/315,639 = 315,639/x
  3. Step 3: Cross multiply
    146,162.25x = 315,639 × 315,639
  4. Step 4: Simplify right side
    146,162.25x = 99,627,978,321
  5. Step 5: Solve for x
    x = 99,627,978,321/146,162.25
  6. Step 6: Final answer
    x = 681,625.92

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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.