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Finding the Third Proportional to 110,866 and 251,326

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Solution

The third proportional to 110,866 and 251,326 is: 569,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,866 : 251,326 = 251,326 : x
  2. Step 2: Convert to fraction form
    110,866/251,326 = 251,326/x
  3. Step 3: Cross multiply
    110,866x = 251,326 × 251,326
  4. Step 4: Simplify right side
    110,866x = 63,164,758,276
  5. Step 5: Solve for x
    x = 63,164,758,276/110,866
  6. Step 6: Final answer
    x = 569,739.67

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.