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Finding the Third Proportional to 141,704 and 309,760

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Solution

The third proportional to 141,704 and 309,760 is: 677,124.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,704 : 309,760 = 309,760 : x
  2. Step 2: Convert to fraction form
    141,704/309,760 = 309,760/x
  3. Step 3: Cross multiply
    141,704x = 309,760 × 309,760
  4. Step 4: Simplify right side
    141,704x = 95,951,257,600
  5. Step 5: Solve for x
    x = 95,951,257,600/141,704
  6. Step 6: Final answer
    x = 677,124.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.