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Finding the Third Proportional to 204,826.22 and 447,173.16

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Solution

The third proportional to 204,826.22 and 447,173.16 is: 976,260.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,826.22 : 447,173.16 = 447,173.16 : x
  2. Step 2: Convert to fraction form
    204,826.22/447,173.16 = 447,173.16/x
  3. Step 3: Cross multiply
    204,826.22x = 447,173.16 × 447,173.16
  4. Step 4: Simplify right side
    204,826.22x = 199,963,831,670.59
  5. Step 5: Solve for x
    x = 199,963,831,670.59/204,826.22
  6. Step 6: Final answer
    x = 976,260.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.