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Finding the Third Proportional to 172,381 and 365,630

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Solution

The third proportional to 172,381 and 365,630 is: 775,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,381 : 365,630 = 365,630 : x
  2. Step 2: Convert to fraction form
    172,381/365,630 = 365,630/x
  3. Step 3: Cross multiply
    172,381x = 365,630 × 365,630
  4. Step 4: Simplify right side
    172,381x = 133,685,296,900
  5. Step 5: Solve for x
    x = 133,685,296,900/172,381
  6. Step 6: Final answer
    x = 775,522.23

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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.