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Finding the Third Proportional to 175,019 and 381,714

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Solution

The third proportional to 175,019 and 381,714 is: 832,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,019 : 381,714 = 381,714 : x
  2. Step 2: Convert to fraction form
    175,019/381,714 = 381,714/x
  3. Step 3: Cross multiply
    175,019x = 381,714 × 381,714
  4. Step 4: Simplify right side
    175,019x = 145,705,577,796
  5. Step 5: Solve for x
    x = 145,705,577,796/175,019
  6. Step 6: Final answer
    x = 832,512.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.