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Finding the Third Proportional to 207,731.25 and 451,858.88

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Solution

The third proportional to 207,731.25 and 451,858.88 is: 982,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,731.25 : 451,858.88 = 451,858.88 : x
  2. Step 2: Convert to fraction form
    207,731.25/451,858.88 = 451,858.88/x
  3. Step 3: Cross multiply
    207,731.25x = 451,858.88 × 451,858.88
  4. Step 4: Simplify right side
    207,731.25x = 204,176,442,916.27
  5. Step 5: Solve for x
    x = 204,176,442,916.27/207,731.25
  6. Step 6: Final answer
    x = 982,887.47

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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.