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Finding the Third Proportional to 170,595 and 261,108

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Solution

The third proportional to 170,595 and 261,108 is: 399,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,595 : 261,108 = 261,108 : x
  2. Step 2: Convert to fraction form
    170,595/261,108 = 261,108/x
  3. Step 3: Cross multiply
    170,595x = 261,108 × 261,108
  4. Step 4: Simplify right side
    170,595x = 68,177,387,664
  5. Step 5: Solve for x
    x = 68,177,387,664/170,595
  6. Step 6: Final answer
    x = 399,644.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.