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Finding the Third Proportional to 166,272 and 344,368

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Solution

The third proportional to 166,272 and 344,368 is: 713,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,272 : 344,368 = 344,368 : x
  2. Step 2: Convert to fraction form
    166,272/344,368 = 344,368/x
  3. Step 3: Cross multiply
    166,272x = 344,368 × 344,368
  4. Step 4: Simplify right side
    166,272x = 118,589,319,424
  5. Step 5: Solve for x
    x = 118,589,319,424/166,272
  6. Step 6: Final answer
    x = 713,224.83

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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.