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Finding the Third Proportional to 210,120.75 and 325,896.75

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Solution

The third proportional to 210,120.75 and 325,896.75 is: 505,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,120.75 : 325,896.75 = 325,896.75 : x
  2. Step 2: Convert to fraction form
    210,120.75/325,896.75 = 325,896.75/x
  3. Step 3: Cross multiply
    210,120.75x = 325,896.75 × 325,896.75
  4. Step 4: Simplify right side
    210,120.75x = 106,208,691,660.56
  5. Step 5: Solve for x
    x = 106,208,691,660.56/210,120.75
  6. Step 6: Final answer
    x = 505,465.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.