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Finding the Third Proportional to 158,924 and 330,916

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Solution

The third proportional to 158,924 and 330,916 is: 689,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,924 : 330,916 = 330,916 : x
  2. Step 2: Convert to fraction form
    158,924/330,916 = 330,916/x
  3. Step 3: Cross multiply
    158,924x = 330,916 × 330,916
  4. Step 4: Simplify right side
    158,924x = 109,505,399,056
  5. Step 5: Solve for x
    x = 109,505,399,056/158,924
  6. Step 6: Final answer
    x = 689,042.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.