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Finding the Third Proportional to 171,664 and 262,602

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Solution

The third proportional to 171,664 and 262,602 is: 401,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,664 : 262,602 = 262,602 : x
  2. Step 2: Convert to fraction form
    171,664/262,602 = 262,602/x
  3. Step 3: Cross multiply
    171,664x = 262,602 × 262,602
  4. Step 4: Simplify right side
    171,664x = 68,959,810,404
  5. Step 5: Solve for x
    x = 68,959,810,404/171,664
  6. Step 6: Final answer
    x = 401,713.87

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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.