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Finding the Third Proportional to 166,643.25 and 366,638.25

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Solution

The third proportional to 166,643.25 and 366,638.25 is: 806,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,643.25 : 366,638.25 = 366,638.25 : x
  2. Step 2: Convert to fraction form
    166,643.25/366,638.25 = 366,638.25/x
  3. Step 3: Cross multiply
    166,643.25x = 366,638.25 × 366,638.25
  4. Step 4: Simplify right side
    166,643.25x = 134,423,606,363.06
  5. Step 5: Solve for x
    x = 134,423,606,363.06/166,643.25
  6. Step 6: Final answer
    x = 806,654.97

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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.