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Finding the Third Proportional to 142,215.75 and 305,344.69

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Solution

The third proportional to 142,215.75 and 305,344.69 is: 655,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,215.75 : 305,344.69 = 305,344.69 : x
  2. Step 2: Convert to fraction form
    142,215.75/305,344.69 = 305,344.69/x
  3. Step 3: Cross multiply
    142,215.75x = 305,344.69 × 305,344.69
  4. Step 4: Simplify right side
    142,215.75x = 93,235,378,184.47
  5. Step 5: Solve for x
    x = 93,235,378,184.47/142,215.75
  6. Step 6: Final answer
    x = 655,591.09

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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.