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Finding the Third Proportional to 167,880 and 262,032

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Solution

The third proportional to 167,880 and 262,032 is: 408,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,880 : 262,032 = 262,032 : x
  2. Step 2: Convert to fraction form
    167,880/262,032 = 262,032/x
  3. Step 3: Cross multiply
    167,880x = 262,032 × 262,032
  4. Step 4: Simplify right side
    167,880x = 68,660,769,024
  5. Step 5: Solve for x
    x = 68,660,769,024/167,880
  6. Step 6: Final answer
    x = 408,987.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.