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Finding the Third Proportional to 166,752 and 355,374

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Solution

The third proportional to 166,752 and 355,374 is: 757,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,752 : 355,374 = 355,374 : x
  2. Step 2: Convert to fraction form
    166,752/355,374 = 355,374/x
  3. Step 3: Cross multiply
    166,752x = 355,374 × 355,374
  4. Step 4: Simplify right side
    166,752x = 126,290,679,876
  5. Step 5: Solve for x
    x = 126,290,679,876/166,752
  6. Step 6: Final answer
    x = 757,356.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.