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Finding the Third Proportional to 166,235.06 and 344,294.44

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Solution

The third proportional to 166,235.06 and 344,294.44 is: 713,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,235.06 : 344,294.44 = 344,294.44 : x
  2. Step 2: Convert to fraction form
    166,235.06/344,294.44 = 344,294.44/x
  3. Step 3: Cross multiply
    166,235.06x = 344,294.44 × 344,294.44
  4. Step 4: Simplify right side
    166,235.06x = 118,538,659,693.44
  5. Step 5: Solve for x
    x = 118,538,659,693.44/166,235.06
  6. Step 6: Final answer
    x = 713,078.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.