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Finding the Third Proportional to 100,272 and 222,958

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Solution

The third proportional to 100,272 and 222,958 is: 495,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272 : 222,958 = 222,958 : x
  2. Step 2: Convert to fraction form
    100,272/222,958 = 222,958/x
  3. Step 3: Cross multiply
    100,272x = 222,958 × 222,958
  4. Step 4: Simplify right side
    100,272x = 49,710,269,764
  5. Step 5: Solve for x
    x = 49,710,269,764/100,272
  6. Step 6: Final answer
    x = 495,754.25

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.