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Finding the Third Proportional to 234,389.25 and 331,875

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Solution

The third proportional to 234,389.25 and 331,875 is: 469,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,389.25 : 331,875 = 331,875 : x
  2. Step 2: Convert to fraction form
    234,389.25/331,875 = 331,875/x
  3. Step 3: Cross multiply
    234,389.25x = 331,875 × 331,875
  4. Step 4: Simplify right side
    234,389.25x = 110,141,015,625
  5. Step 5: Solve for x
    x = 110,141,015,625/234,389.25
  6. Step 6: Final answer
    x = 469,906.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.