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Finding the Third Proportional to 117,077.25 and 251,903.25

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Solution

The third proportional to 117,077.25 and 251,903.25 is: 541,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,077.25 : 251,903.25 = 251,903.25 : x
  2. Step 2: Convert to fraction form
    117,077.25/251,903.25 = 251,903.25/x
  3. Step 3: Cross multiply
    117,077.25x = 251,903.25 × 251,903.25
  4. Step 4: Simplify right side
    117,077.25x = 63,455,247,360.56
  5. Step 5: Solve for x
    x = 63,455,247,360.56/117,077.25
  6. Step 6: Final answer
    x = 541,994.69

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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.