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Finding the Third Proportional to 140,477 and 300,634

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Solution

The third proportional to 140,477 and 300,634 is: 643,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,477 : 300,634 = 300,634 : x
  2. Step 2: Convert to fraction form
    140,477/300,634 = 300,634/x
  3. Step 3: Cross multiply
    140,477x = 300,634 × 300,634
  4. Step 4: Simplify right side
    140,477x = 90,380,801,956
  5. Step 5: Solve for x
    x = 90,380,801,956/140,477
  6. Step 6: Final answer
    x = 643,385.05

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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.