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Finding the Third Proportional to 146,150.44 and 314,057.25

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Solution

The third proportional to 146,150.44 and 314,057.25 is: 674,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,150.44 : 314,057.25 = 314,057.25 : x
  2. Step 2: Convert to fraction form
    146,150.44/314,057.25 = 314,057.25/x
  3. Step 3: Cross multiply
    146,150.44x = 314,057.25 × 314,057.25
  4. Step 4: Simplify right side
    146,150.44x = 98,631,956,277.56
  5. Step 5: Solve for x
    x = 98,631,956,277.56/146,150.44
  6. Step 6: Final answer
    x = 674,865.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.