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Finding the Third Proportional to 141,806 and 222,483

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Solution

The third proportional to 141,806 and 222,483 is: 349,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,806 : 222,483 = 222,483 : x
  2. Step 2: Convert to fraction form
    141,806/222,483 = 222,483/x
  3. Step 3: Cross multiply
    141,806x = 222,483 × 222,483
  4. Step 4: Simplify right side
    141,806x = 49,498,685,289
  5. Step 5: Solve for x
    x = 49,498,685,289/141,806
  6. Step 6: Final answer
    x = 349,059.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.