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Finding the Third Proportional to 207,734 and 339,175

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Solution

The third proportional to 207,734 and 339,175 is: 553,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,734 : 339,175 = 339,175 : x
  2. Step 2: Convert to fraction form
    207,734/339,175 = 339,175/x
  3. Step 3: Cross multiply
    207,734x = 339,175 × 339,175
  4. Step 4: Simplify right side
    207,734x = 115,039,680,625
  5. Step 5: Solve for x
    x = 115,039,680,625/207,734
  6. Step 6: Final answer
    x = 553,783.59

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.