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Finding the Third Proportional to 171,765 and 366,360

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Solution

The third proportional to 171,765 and 366,360 is: 781,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,765 : 366,360 = 366,360 : x
  2. Step 2: Convert to fraction form
    171,765/366,360 = 366,360/x
  3. Step 3: Cross multiply
    171,765x = 366,360 × 366,360
  4. Step 4: Simplify right side
    171,765x = 134,219,649,600
  5. Step 5: Solve for x
    x = 134,219,649,600/171,765
  6. Step 6: Final answer
    x = 781,414.43

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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.