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Finding the Third Proportional to 171,622.13 and 259,650.56

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Solution

The third proportional to 171,622.13 and 259,650.56 is: 392,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,622.13 : 259,650.56 = 259,650.56 : x
  2. Step 2: Convert to fraction form
    171,622.13/259,650.56 = 259,650.56/x
  3. Step 3: Cross multiply
    171,622.13x = 259,650.56 × 259,650.56
  4. Step 4: Simplify right side
    171,622.13x = 67,418,414,606.57
  5. Step 5: Solve for x
    x = 67,418,414,606.57/171,622.13
  6. Step 6: Final answer
    x = 392,830.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.