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Finding the Third Proportional to 102,177 and 222,746

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Solution

The third proportional to 102,177 and 222,746 is: 485,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,177 : 222,746 = 222,746 : x
  2. Step 2: Convert to fraction form
    102,177/222,746 = 222,746/x
  3. Step 3: Cross multiply
    102,177x = 222,746 × 222,746
  4. Step 4: Simplify right side
    102,177x = 49,615,780,516
  5. Step 5: Solve for x
    x = 49,615,780,516/102,177
  6. Step 6: Final answer
    x = 485,586.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.