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Finding the Third Proportional to 175,026 and 381,727

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Solution

The third proportional to 175,026 and 381,727 is: 832,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,026 : 381,727 = 381,727 : x
  2. Step 2: Convert to fraction form
    175,026/381,727 = 381,727/x
  3. Step 3: Cross multiply
    175,026x = 381,727 × 381,727
  4. Step 4: Simplify right side
    175,026x = 145,715,502,529
  5. Step 5: Solve for x
    x = 145,715,502,529/175,026
  6. Step 6: Final answer
    x = 832,536.32

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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.