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Finding the Third Proportional to 251,205 and 541,766

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Solution

The third proportional to 251,205 and 541,766 is: 1,168,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,205 : 541,766 = 541,766 : x
  2. Step 2: Convert to fraction form
    251,205/541,766 = 541,766/x
  3. Step 3: Cross multiply
    251,205x = 541,766 × 541,766
  4. Step 4: Simplify right side
    251,205x = 293,510,398,756
  5. Step 5: Solve for x
    x = 293,510,398,756/251,205
  6. Step 6: Final answer
    x = 1,168,409.86

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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.