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Finding the Third Proportional to 172,132 and 380,360

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Solution

The third proportional to 172,132 and 380,360 is: 840,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,132 : 380,360 = 380,360 : x
  2. Step 2: Convert to fraction form
    172,132/380,360 = 380,360/x
  3. Step 3: Cross multiply
    172,132x = 380,360 × 380,360
  4. Step 4: Simplify right side
    172,132x = 144,673,729,600
  5. Step 5: Solve for x
    x = 144,673,729,600/172,132
  6. Step 6: Final answer
    x = 840,481.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.