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Finding the Third Proportional to 101,342 and 222,142

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Solution

The third proportional to 101,342 and 222,142 is: 486,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,342 : 222,142 = 222,142 : x
  2. Step 2: Convert to fraction form
    101,342/222,142 = 222,142/x
  3. Step 3: Cross multiply
    101,342x = 222,142 × 222,142
  4. Step 4: Simplify right side
    101,342x = 49,347,068,164
  5. Step 5: Solve for x
    x = 49,347,068,164/101,342
  6. Step 6: Final answer
    x = 486,936.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.