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Finding the Third Proportional to 172,395 and 365,523

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Solution

The third proportional to 172,395 and 365,523 is: 775,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,395 : 365,523 = 365,523 : x
  2. Step 2: Convert to fraction form
    172,395/365,523 = 365,523/x
  3. Step 3: Cross multiply
    172,395x = 365,523 × 365,523
  4. Step 4: Simplify right side
    172,395x = 133,607,063,529
  5. Step 5: Solve for x
    x = 133,607,063,529/172,395
  6. Step 6: Final answer
    x = 775,005.44

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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.