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Finding the Third Proportional to 172,302 and 365,061

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Solution

The third proportional to 172,302 and 365,061 is: 773,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,302 : 365,061 = 365,061 : x
  2. Step 2: Convert to fraction form
    172,302/365,061 = 365,061/x
  3. Step 3: Cross multiply
    172,302x = 365,061 × 365,061
  4. Step 4: Simplify right side
    172,302x = 133,269,533,721
  5. Step 5: Solve for x
    x = 133,269,533,721/172,302
  6. Step 6: Final answer
    x = 773,464.81

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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.