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Finding the Third Proportional to 172,336 and 365,504

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Solution

The third proportional to 172,336 and 365,504 is: 775,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,336 : 365,504 = 365,504 : x
  2. Step 2: Convert to fraction form
    172,336/365,504 = 365,504/x
  3. Step 3: Cross multiply
    172,336x = 365,504 × 365,504
  4. Step 4: Simplify right side
    172,336x = 133,593,174,016
  5. Step 5: Solve for x
    x = 133,593,174,016/172,336
  6. Step 6: Final answer
    x = 775,190.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.