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Finding the Third Proportional to 171,710 and 262,670

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Solution

The third proportional to 171,710 and 262,670 is: 401,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,710 : 262,670 = 262,670 : x
  2. Step 2: Convert to fraction form
    171,710/262,670 = 262,670/x
  3. Step 3: Cross multiply
    171,710x = 262,670 × 262,670
  4. Step 4: Simplify right side
    171,710x = 68,995,528,900
  5. Step 5: Solve for x
    x = 68,995,528,900/171,710
  6. Step 6: Final answer
    x = 401,814.27

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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.