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Finding the Third Proportional to 166,070.25 and 234,021.75

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Solution

The third proportional to 166,070.25 and 234,021.75 is: 329,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,070.25 : 234,021.75 = 234,021.75 : x
  2. Step 2: Convert to fraction form
    166,070.25/234,021.75 = 234,021.75/x
  3. Step 3: Cross multiply
    166,070.25x = 234,021.75 × 234,021.75
  4. Step 4: Simplify right side
    166,070.25x = 54,766,179,473.06
  5. Step 5: Solve for x
    x = 54,766,179,473.06/166,070.25
  6. Step 6: Final answer
    x = 329,777.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.