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Finding the Third Proportional to 147,845.25 and 226,202.63

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Solution

The third proportional to 147,845.25 and 226,202.63 is: 346,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,845.25 : 226,202.63 = 226,202.63 : x
  2. Step 2: Convert to fraction form
    147,845.25/226,202.63 = 226,202.63/x
  3. Step 3: Cross multiply
    147,845.25x = 226,202.63 × 226,202.63
  4. Step 4: Simplify right side
    147,845.25x = 51,167,627,556.89
  5. Step 5: Solve for x
    x = 51,167,627,556.89/147,845.25
  6. Step 6: Final answer
    x = 346,089.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.