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Finding the Third Proportional to 140,183.71 and 308,392.63

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Solution

The third proportional to 140,183.71 and 308,392.63 is: 678,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,183.71 : 308,392.63 = 308,392.63 : x
  2. Step 2: Convert to fraction form
    140,183.71/308,392.63 = 308,392.63/x
  3. Step 3: Cross multiply
    140,183.71x = 308,392.63 × 308,392.63
  4. Step 4: Simplify right side
    140,183.71x = 95,106,013,563.71
  5. Step 5: Solve for x
    x = 95,106,013,563.71/140,183.71
  6. Step 6: Final answer
    x = 678,438.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.