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Finding the Third Proportional to 117,027 and 251,829

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Solution

The third proportional to 117,027 and 251,829 is: 541,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,027 : 251,829 = 251,829 : x
  2. Step 2: Convert to fraction form
    117,027/251,829 = 251,829/x
  3. Step 3: Cross multiply
    117,027x = 251,829 × 251,829
  4. Step 4: Simplify right side
    117,027x = 63,417,845,241
  5. Step 5: Solve for x
    x = 63,417,845,241/117,027
  6. Step 6: Final answer
    x = 541,907.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.