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Finding the Third Proportional to 110,858 and 251,309

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Solution

The third proportional to 110,858 and 251,309 is: 569,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,858 : 251,309 = 251,309 : x
  2. Step 2: Convert to fraction form
    110,858/251,309 = 251,309/x
  3. Step 3: Cross multiply
    110,858x = 251,309 × 251,309
  4. Step 4: Simplify right side
    110,858x = 63,156,213,481
  5. Step 5: Solve for x
    x = 63,156,213,481/110,858
  6. Step 6: Final answer
    x = 569,703.71

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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.