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Finding the Third Proportional to 172,608 and 264,927

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Solution

The third proportional to 172,608 and 264,927 is: 406,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,608 : 264,927 = 264,927 : x
  2. Step 2: Convert to fraction form
    172,608/264,927 = 264,927/x
  3. Step 3: Cross multiply
    172,608x = 264,927 × 264,927
  4. Step 4: Simplify right side
    172,608x = 70,186,315,329
  5. Step 5: Solve for x
    x = 70,186,315,329/172,608
  6. Step 6: Final answer
    x = 406,622.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.