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Finding the Third Proportional to 140,028.75 and 303,841.13

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Solution

The third proportional to 140,028.75 and 303,841.13 is: 659,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,028.75 : 303,841.13 = 303,841.13 : x
  2. Step 2: Convert to fraction form
    140,028.75/303,841.13 = 303,841.13/x
  3. Step 3: Cross multiply
    140,028.75x = 303,841.13 × 303,841.13
  4. Step 4: Simplify right side
    140,028.75x = 92,319,429,241.27
  5. Step 5: Solve for x
    x = 92,319,429,241.27/140,028.75
  6. Step 6: Final answer
    x = 659,289.10

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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.