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Finding the Third Proportional to 114,087.38 and 264,102.75

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Solution

The third proportional to 114,087.38 and 264,102.75 is: 611,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,087.38 : 264,102.75 = 264,102.75 : x
  2. Step 2: Convert to fraction form
    114,087.38/264,102.75 = 264,102.75/x
  3. Step 3: Cross multiply
    114,087.38x = 264,102.75 × 264,102.75
  4. Step 4: Simplify right side
    114,087.38x = 69,750,262,557.56
  5. Step 5: Solve for x
    x = 69,750,262,557.56/114,087.38
  6. Step 6: Final answer
    x = 611,375.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.