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Finding the Third Proportional to 117,546 and 261,252

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Solution

The third proportional to 117,546 and 261,252 is: 580,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,546 : 261,252 = 261,252 : x
  2. Step 2: Convert to fraction form
    117,546/261,252 = 261,252/x
  3. Step 3: Cross multiply
    117,546x = 261,252 × 261,252
  4. Step 4: Simplify right side
    117,546x = 68,252,607,504
  5. Step 5: Solve for x
    x = 68,252,607,504/117,546
  6. Step 6: Final answer
    x = 580,645.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.