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Finding the Third Proportional to 146,574.56 and 321,202.97

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Solution

The third proportional to 146,574.56 and 321,202.97 is: 703,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,574.56 : 321,202.97 = 321,202.97 : x
  2. Step 2: Convert to fraction form
    146,574.56/321,202.97 = 321,202.97/x
  3. Step 3: Cross multiply
    146,574.56x = 321,202.97 × 321,202.97
  4. Step 4: Simplify right side
    146,574.56x = 103,171,347,133.81
  5. Step 5: Solve for x
    x = 103,171,347,133.81/146,574.56
  6. Step 6: Final answer
    x = 703,883.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.