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Finding the Third Proportional to 171,729 and 262,710

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Solution

The third proportional to 171,729 and 262,710 is: 401,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,729 : 262,710 = 262,710 : x
  2. Step 2: Convert to fraction form
    171,729/262,710 = 262,710/x
  3. Step 3: Cross multiply
    171,729x = 262,710 × 262,710
  4. Step 4: Simplify right side
    171,729x = 69,016,544,100
  5. Step 5: Solve for x
    x = 69,016,544,100/171,729
  6. Step 6: Final answer
    x = 401,892.19

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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.