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Finding the Third Proportional to 171,659 and 262,595

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Solution

The third proportional to 171,659 and 262,595 is: 401,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,659 : 262,595 = 262,595 : x
  2. Step 2: Convert to fraction form
    171,659/262,595 = 262,595/x
  3. Step 3: Cross multiply
    171,659x = 262,595 × 262,595
  4. Step 4: Simplify right side
    171,659x = 68,956,134,025
  5. Step 5: Solve for x
    x = 68,956,134,025/171,659
  6. Step 6: Final answer
    x = 401,704.16

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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.