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Finding the Third Proportional to 117,009 and 253,336

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Solution

The third proportional to 117,009 and 253,336 is: 548,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009 : 253,336 = 253,336 : x
  2. Step 2: Convert to fraction form
    117,009/253,336 = 253,336/x
  3. Step 3: Cross multiply
    117,009x = 253,336 × 253,336
  4. Step 4: Simplify right side
    117,009x = 64,179,128,896
  5. Step 5: Solve for x
    x = 64,179,128,896/117,009
  6. Step 6: Final answer
    x = 548,497.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.