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Finding the Third Proportional to 175,018 and 381,713

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Solution

The third proportional to 175,018 and 381,713 is: 832,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,018 : 381,713 = 381,713 : x
  2. Step 2: Convert to fraction form
    175,018/381,713 = 381,713/x
  3. Step 3: Cross multiply
    175,018x = 381,713 × 381,713
  4. Step 4: Simplify right side
    175,018x = 145,704,814,369
  5. Step 5: Solve for x
    x = 145,704,814,369/175,018
  6. Step 6: Final answer
    x = 832,513.31

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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.