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Finding the Third Proportional to 140,969.63 and 303,945.38

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Solution

The third proportional to 140,969.63 and 303,945.38 is: 655,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,969.63 : 303,945.38 = 303,945.38 : x
  2. Step 2: Convert to fraction form
    140,969.63/303,945.38 = 303,945.38/x
  3. Step 3: Cross multiply
    140,969.63x = 303,945.38 × 303,945.38
  4. Step 4: Simplify right side
    140,969.63x = 92,382,790,983.89
  5. Step 5: Solve for x
    x = 92,382,790,983.89/140,969.63
  6. Step 6: Final answer
    x = 655,338.28

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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.