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Finding the Third Proportional to 151,938 and 329,794

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Solution

The third proportional to 151,938 and 329,794 is: 715,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,938 : 329,794 = 329,794 : x
  2. Step 2: Convert to fraction form
    151,938/329,794 = 329,794/x
  3. Step 3: Cross multiply
    151,938x = 329,794 × 329,794
  4. Step 4: Simplify right side
    151,938x = 108,764,082,436
  5. Step 5: Solve for x
    x = 108,764,082,436/151,938
  6. Step 6: Final answer
    x = 715,845.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.