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Finding the Third Proportional to 147,704 and 324,976

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Solution

The third proportional to 147,704 and 324,976 is: 715,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,704 : 324,976 = 324,976 : x
  2. Step 2: Convert to fraction form
    147,704/324,976 = 324,976/x
  3. Step 3: Cross multiply
    147,704x = 324,976 × 324,976
  4. Step 4: Simplify right side
    147,704x = 105,609,400,576
  5. Step 5: Solve for x
    x = 105,609,400,576/147,704
  6. Step 6: Final answer
    x = 715,007.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.