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Finding the Third Proportional to 150,854.06 and 223,670.25

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Solution

The third proportional to 150,854.06 and 223,670.25 is: 331,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,854.06 : 223,670.25 = 223,670.25 : x
  2. Step 2: Convert to fraction form
    150,854.06/223,670.25 = 223,670.25/x
  3. Step 3: Cross multiply
    150,854.06x = 223,670.25 × 223,670.25
  4. Step 4: Simplify right side
    150,854.06x = 50,028,380,735.06
  5. Step 5: Solve for x
    x = 50,028,380,735.06/150,854.06
  6. Step 6: Final answer
    x = 331,634.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.