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Finding the Third Proportional to 222,841.13 and 345,201.75

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Solution

The third proportional to 222,841.13 and 345,201.75 is: 534,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,841.13 : 345,201.75 = 345,201.75 : x
  2. Step 2: Convert to fraction form
    222,841.13/345,201.75 = 345,201.75/x
  3. Step 3: Cross multiply
    222,841.13x = 345,201.75 × 345,201.75
  4. Step 4: Simplify right side
    222,841.13x = 119,164,248,203.06
  5. Step 5: Solve for x
    x = 119,164,248,203.06/222,841.13
  6. Step 6: Final answer
    x = 534,749.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.