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Finding the Third Proportional to 102,702 and 222,180

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Solution

The third proportional to 102,702 and 222,180 is: 480,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,702 : 222,180 = 222,180 : x
  2. Step 2: Convert to fraction form
    102,702/222,180 = 222,180/x
  3. Step 3: Cross multiply
    102,702x = 222,180 × 222,180
  4. Step 4: Simplify right side
    102,702x = 49,363,952,400
  5. Step 5: Solve for x
    x = 49,363,952,400/102,702
  6. Step 6: Final answer
    x = 480,652.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.