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Finding the Third Proportional to 172,476 and 365,823

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Solution

The third proportional to 172,476 and 365,823 is: 775,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,476 : 365,823 = 365,823 : x
  2. Step 2: Convert to fraction form
    172,476/365,823 = 365,823/x
  3. Step 3: Cross multiply
    172,476x = 365,823 × 365,823
  4. Step 4: Simplify right side
    172,476x = 133,826,467,329
  5. Step 5: Solve for x
    x = 133,826,467,329/172,476
  6. Step 6: Final answer
    x = 775,913.56

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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.