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Finding the Third Proportional to 134,102.25 and 279,227.25

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Solution

The third proportional to 134,102.25 and 279,227.25 is: 581,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,102.25 : 279,227.25 = 279,227.25 : x
  2. Step 2: Convert to fraction form
    134,102.25/279,227.25 = 279,227.25/x
  3. Step 3: Cross multiply
    134,102.25x = 279,227.25 × 279,227.25
  4. Step 4: Simplify right side
    134,102.25x = 77,967,857,142.56
  5. Step 5: Solve for x
    x = 77,967,857,142.56/134,102.25
  6. Step 6: Final answer
    x = 581,406.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.