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Finding the Third Proportional to 142,489.50 and 222,361

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Solution

The third proportional to 142,489.50 and 222,361 is: 347,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,489.50 : 222,361 = 222,361 : x
  2. Step 2: Convert to fraction form
    142,489.50/222,361 = 222,361/x
  3. Step 3: Cross multiply
    142,489.50x = 222,361 × 222,361
  4. Step 4: Simplify right side
    142,489.50x = 49,444,414,321
  5. Step 5: Solve for x
    x = 49,444,414,321/142,489.50
  6. Step 6: Final answer
    x = 347,003.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.