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Finding the Third Proportional to 143,241.75 and 303,559.13

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Solution

The third proportional to 143,241.75 and 303,559.13 is: 643,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,241.75 : 303,559.13 = 303,559.13 : x
  2. Step 2: Convert to fraction form
    143,241.75/303,559.13 = 303,559.13/x
  3. Step 3: Cross multiply
    143,241.75x = 303,559.13 × 303,559.13
  4. Step 4: Simplify right side
    143,241.75x = 92,148,142,370.77
  5. Step 5: Solve for x
    x = 92,148,142,370.77/143,241.75
  6. Step 6: Final answer
    x = 643,305.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.