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Finding the Third Proportional to 207,732 and 339,174

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Solution

The third proportional to 207,732 and 339,174 is: 553,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,732 : 339,174 = 339,174 : x
  2. Step 2: Convert to fraction form
    207,732/339,174 = 339,174/x
  3. Step 3: Cross multiply
    207,732x = 339,174 × 339,174
  4. Step 4: Simplify right side
    207,732x = 115,039,002,276
  5. Step 5: Solve for x
    x = 115,039,002,276/207,732
  6. Step 6: Final answer
    x = 553,785.66

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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.