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Finding the Third Proportional to 141,172.88 and 303,972.75

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Solution

The third proportional to 141,172.88 and 303,972.75 is: 654,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,172.88 : 303,972.75 = 303,972.75 : x
  2. Step 2: Convert to fraction form
    141,172.88/303,972.75 = 303,972.75/x
  3. Step 3: Cross multiply
    141,172.88x = 303,972.75 × 303,972.75
  4. Step 4: Simplify right side
    141,172.88x = 92,399,432,742.56
  5. Step 5: Solve for x
    x = 92,399,432,742.56/141,172.88
  6. Step 6: Final answer
    x = 654,512.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.