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Finding the Third Proportional to 171,705 and 262,662

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Solution

The third proportional to 171,705 and 262,662 is: 401,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,705 : 262,662 = 262,662 : x
  2. Step 2: Convert to fraction form
    171,705/262,662 = 262,662/x
  3. Step 3: Cross multiply
    171,705x = 262,662 × 262,662
  4. Step 4: Simplify right side
    171,705x = 68,991,326,244
  5. Step 5: Solve for x
    x = 68,991,326,244/171,705
  6. Step 6: Final answer
    x = 401,801.50

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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.