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Finding the Third Proportional to 164,589 and 353,731

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Solution

The third proportional to 164,589 and 353,731 is: 760,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,589 : 353,731 = 353,731 : x
  2. Step 2: Convert to fraction form
    164,589/353,731 = 353,731/x
  3. Step 3: Cross multiply
    164,589x = 353,731 × 353,731
  4. Step 4: Simplify right side
    164,589x = 125,125,620,361
  5. Step 5: Solve for x
    x = 125,125,620,361/164,589
  6. Step 6: Final answer
    x = 760,230.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.