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Finding the Third Proportional to 166,264 and 355,872

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Solution

The third proportional to 166,264 and 355,872 is: 761,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,264 : 355,872 = 355,872 : x
  2. Step 2: Convert to fraction form
    166,264/355,872 = 355,872/x
  3. Step 3: Cross multiply
    166,264x = 355,872 × 355,872
  4. Step 4: Simplify right side
    166,264x = 126,644,880,384
  5. Step 5: Solve for x
    x = 126,644,880,384/166,264
  6. Step 6: Final answer
    x = 761,709.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.