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Finding the Third Proportional to 163,412 and 222,781

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Solution

The third proportional to 163,412 and 222,781 is: 303,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,412 : 222,781 = 222,781 : x
  2. Step 2: Convert to fraction form
    163,412/222,781 = 222,781/x
  3. Step 3: Cross multiply
    163,412x = 222,781 × 222,781
  4. Step 4: Simplify right side
    163,412x = 49,631,373,961
  5. Step 5: Solve for x
    x = 49,631,373,961/163,412
  6. Step 6: Final answer
    x = 303,719.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.