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Finding the Third Proportional to 172,014 and 260,616

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Solution

The third proportional to 172,014 and 260,616 is: 394,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,014 : 260,616 = 260,616 : x
  2. Step 2: Convert to fraction form
    172,014/260,616 = 260,616/x
  3. Step 3: Cross multiply
    172,014x = 260,616 × 260,616
  4. Step 4: Simplify right side
    172,014x = 67,920,699,456
  5. Step 5: Solve for x
    x = 67,920,699,456/172,014
  6. Step 6: Final answer
    x = 394,855.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.