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Finding the Third Proportional to 166,208 and 355,732

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Solution

The third proportional to 166,208 and 355,732 is: 761,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,208 : 355,732 = 355,732 : x
  2. Step 2: Convert to fraction form
    166,208/355,732 = 355,732/x
  3. Step 3: Cross multiply
    166,208x = 355,732 × 355,732
  4. Step 4: Simplify right side
    166,208x = 126,545,255,824
  5. Step 5: Solve for x
    x = 126,545,255,824/166,208
  6. Step 6: Final answer
    x = 761,366.82

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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.