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Finding the Third Proportional to 172,065 and 377,175

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Solution

The third proportional to 172,065 and 377,175 is: 826,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,065 : 377,175 = 377,175 : x
  2. Step 2: Convert to fraction form
    172,065/377,175 = 377,175/x
  3. Step 3: Cross multiply
    172,065x = 377,175 × 377,175
  4. Step 4: Simplify right side
    172,065x = 142,260,980,625
  5. Step 5: Solve for x
    x = 142,260,980,625/172,065
  6. Step 6: Final answer
    x = 826,786.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.