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Finding the Third Proportional to 210,832.88 and 451,797.75

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Solution

The third proportional to 210,832.88 and 451,797.75 is: 968,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,832.88 : 451,797.75 = 451,797.75 : x
  2. Step 2: Convert to fraction form
    210,832.88/451,797.75 = 451,797.75/x
  3. Step 3: Cross multiply
    210,832.88x = 451,797.75 × 451,797.75
  4. Step 4: Simplify right side
    210,832.88x = 204,121,206,905.06
  5. Step 5: Solve for x
    x = 204,121,206,905.06/210,832.88
  6. Step 6: Final answer
    x = 968,165.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.