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Finding the Third Proportional to 167,414.63 and 252,632.25

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Solution

The third proportional to 167,414.63 and 252,632.25 is: 381,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,414.63 : 252,632.25 = 252,632.25 : x
  2. Step 2: Convert to fraction form
    167,414.63/252,632.25 = 252,632.25/x
  3. Step 3: Cross multiply
    167,414.63x = 252,632.25 × 252,632.25
  4. Step 4: Simplify right side
    167,414.63x = 63,823,053,740.06
  5. Step 5: Solve for x
    x = 63,823,053,740.06/167,414.63
  6. Step 6: Final answer
    x = 381,227.47

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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.