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Finding the Third Proportional to 172,525 and 377,035

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Solution

The third proportional to 172,525 and 377,035 is: 823,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,525 : 377,035 = 377,035 : x
  2. Step 2: Convert to fraction form
    172,525/377,035 = 377,035/x
  3. Step 3: Cross multiply
    172,525x = 377,035 × 377,035
  4. Step 4: Simplify right side
    172,525x = 142,155,391,225
  5. Step 5: Solve for x
    x = 142,155,391,225/172,525
  6. Step 6: Final answer
    x = 823,969.81

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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.