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Finding the Third Proportional to 155,844 and 233,766

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Solution

The third proportional to 155,844 and 233,766 is: 350,649

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,844 : 233,766 = 233,766 : x
  2. Step 2: Convert to fraction form
    155,844/233,766 = 233,766/x
  3. Step 3: Cross multiply
    155,844x = 233,766 × 233,766
  4. Step 4: Simplify right side
    155,844x = 54,646,542,756
  5. Step 5: Solve for x
    x = 54,646,542,756/155,844
  6. Step 6: Final answer
    x = 350,649

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.