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Finding the Third Proportional to 140,150 and 303,604

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Solution

The third proportional to 140,150 and 303,604 is: 657,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,150 : 303,604 = 303,604 : x
  2. Step 2: Convert to fraction form
    140,150/303,604 = 303,604/x
  3. Step 3: Cross multiply
    140,150x = 303,604 × 303,604
  4. Step 4: Simplify right side
    140,150x = 92,175,388,816
  5. Step 5: Solve for x
    x = 92,175,388,816/140,150
  6. Step 6: Final answer
    x = 657,690.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.