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Finding the Third Proportional to 234,962 and 378,324

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Solution

The third proportional to 234,962 and 378,324 is: 609,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,962 : 378,324 = 378,324 : x
  2. Step 2: Convert to fraction form
    234,962/378,324 = 378,324/x
  3. Step 3: Cross multiply
    234,962x = 378,324 × 378,324
  4. Step 4: Simplify right side
    234,962x = 143,129,048,976
  5. Step 5: Solve for x
    x = 143,129,048,976/234,962
  6. Step 6: Final answer
    x = 609,158.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.