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Finding the Third Proportional to 140,232.38 and 300,137.63

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Solution

The third proportional to 140,232.38 and 300,137.63 is: 642,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,232.38 : 300,137.63 = 300,137.63 : x
  2. Step 2: Convert to fraction form
    140,232.38/300,137.63 = 300,137.63/x
  3. Step 3: Cross multiply
    140,232.38x = 300,137.63 × 300,137.63
  4. Step 4: Simplify right side
    140,232.38x = 90,082,593,940.64
  5. Step 5: Solve for x
    x = 90,082,593,940.64/140,232.38
  6. Step 6: Final answer
    x = 642,380.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.