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Finding the Third Proportional to 175,242 and 381,238

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Solution

The third proportional to 175,242 and 381,238 is: 829,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,242 : 381,238 = 381,238 : x
  2. Step 2: Convert to fraction form
    175,242/381,238 = 381,238/x
  3. Step 3: Cross multiply
    175,242x = 381,238 × 381,238
  4. Step 4: Simplify right side
    175,242x = 145,342,412,644
  5. Step 5: Solve for x
    x = 145,342,412,644/175,242
  6. Step 6: Final answer
    x = 829,381.16

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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.