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Finding the Third Proportional to 208,164.75 and 491,238.38

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Solution

The third proportional to 208,164.75 and 491,238.38 is: 1,159,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,164.75 : 491,238.38 = 491,238.38 : x
  2. Step 2: Convert to fraction form
    208,164.75/491,238.38 = 491,238.38/x
  3. Step 3: Cross multiply
    208,164.75x = 491,238.38 × 491,238.38
  4. Step 4: Simplify right side
    208,164.75x = 241,315,141,072.64
  5. Step 5: Solve for x
    x = 241,315,141,072.64/208,164.75
  6. Step 6: Final answer
    x = 1,159,250.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.