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Finding the Third Proportional to 171,564.75 and 262,450.13

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Solution

The third proportional to 171,564.75 and 262,450.13 is: 401,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,564.75 : 262,450.13 = 262,450.13 : x
  2. Step 2: Convert to fraction form
    171,564.75/262,450.13 = 262,450.13/x
  3. Step 3: Cross multiply
    171,564.75x = 262,450.13 × 262,450.13
  4. Step 4: Simplify right side
    171,564.75x = 68,880,068,112.52
  5. Step 5: Solve for x
    x = 68,880,068,112.52/171,564.75
  6. Step 6: Final answer
    x = 401,481.47

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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.