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Finding the Third Proportional to 117,591 and 258,592

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Solution

The third proportional to 117,591 and 258,592 is: 568,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,591 : 258,592 = 258,592 : x
  2. Step 2: Convert to fraction form
    117,591/258,592 = 258,592/x
  3. Step 3: Cross multiply
    117,591x = 258,592 × 258,592
  4. Step 4: Simplify right side
    117,591x = 66,869,822,464
  5. Step 5: Solve for x
    x = 66,869,822,464/117,591
  6. Step 6: Final answer
    x = 568,664.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.