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Finding the Third Proportional to 157,671 and 244,797

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Solution

The third proportional to 157,671 and 244,797 is: 380,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,671 : 244,797 = 244,797 : x
  2. Step 2: Convert to fraction form
    157,671/244,797 = 244,797/x
  3. Step 3: Cross multiply
    157,671x = 244,797 × 244,797
  4. Step 4: Simplify right side
    157,671x = 59,925,571,209
  5. Step 5: Solve for x
    x = 59,925,571,209/157,671
  6. Step 6: Final answer
    x = 380,067.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.