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Finding the Third Proportional to 147,808.97 and 225,404.44

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Solution

The third proportional to 147,808.97 and 225,404.44 is: 343,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,808.97 : 225,404.44 = 225,404.44 : x
  2. Step 2: Convert to fraction form
    147,808.97/225,404.44 = 225,404.44/x
  3. Step 3: Cross multiply
    147,808.97x = 225,404.44 × 225,404.44
  4. Step 4: Simplify right side
    147,808.97x = 50,807,160,444.69
  5. Step 5: Solve for x
    x = 50,807,160,444.69/147,808.97
  6. Step 6: Final answer
    x = 343,735.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.