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Finding the Third Proportional to 172,066 and 377,373

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Solution

The third proportional to 172,066 and 377,373 is: 827,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,066 : 377,373 = 377,373 : x
  2. Step 2: Convert to fraction form
    172,066/377,373 = 377,373/x
  3. Step 3: Cross multiply
    172,066x = 377,373 × 377,373
  4. Step 4: Simplify right side
    172,066x = 142,410,381,129
  5. Step 5: Solve for x
    x = 142,410,381,129/172,066
  6. Step 6: Final answer
    x = 827,649.75

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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.