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Finding the Third Proportional to 251,206 and 541,769

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Solution

The third proportional to 251,206 and 541,769 is: 1,168,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,206 : 541,769 = 541,769 : x
  2. Step 2: Convert to fraction form
    251,206/541,769 = 541,769/x
  3. Step 3: Cross multiply
    251,206x = 541,769 × 541,769
  4. Step 4: Simplify right side
    251,206x = 293,513,649,361
  5. Step 5: Solve for x
    x = 293,513,649,361/251,206
  6. Step 6: Final answer
    x = 1,168,418.15

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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.