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Finding the Third Proportional to 149,340.50 and 322,453.50

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Solution

The third proportional to 149,340.50 and 322,453.50 is: 696,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,340.50 : 322,453.50 = 322,453.50 : x
  2. Step 2: Convert to fraction form
    149,340.50/322,453.50 = 322,453.50/x
  3. Step 3: Cross multiply
    149,340.50x = 322,453.50 × 322,453.50
  4. Step 4: Simplify right side
    149,340.50x = 103,976,259,662.25
  5. Step 5: Solve for x
    x = 103,976,259,662.25/149,340.50
  6. Step 6: Final answer
    x = 696,236.18

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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.