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Finding the Third Proportional to 118,474.13 and 255,912.38

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Solution

The third proportional to 118,474.13 and 255,912.38 is: 552,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,474.13 : 255,912.38 = 255,912.38 : x
  2. Step 2: Convert to fraction form
    118,474.13/255,912.38 = 255,912.38/x
  3. Step 3: Cross multiply
    118,474.13x = 255,912.38 × 255,912.38
  4. Step 4: Simplify right side
    118,474.13x = 65,491,143,678.14
  5. Step 5: Solve for x
    x = 65,491,143,678.14/118,474.13
  6. Step 6: Final answer
    x = 552,788.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.