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Finding the Third Proportional to 102,347.25 and 222,177

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Solution

The third proportional to 102,347.25 and 222,177 is: 482,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347.25 : 222,177 = 222,177 : x
  2. Step 2: Convert to fraction form
    102,347.25/222,177 = 222,177/x
  3. Step 3: Cross multiply
    102,347.25x = 222,177 × 222,177
  4. Step 4: Simplify right side
    102,347.25x = 49,362,619,329
  5. Step 5: Solve for x
    x = 49,362,619,329/102,347.25
  6. Step 6: Final answer
    x = 482,305.28

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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.