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Finding the Third Proportional to 172,002 and 260,598

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Solution

The third proportional to 172,002 and 260,598 is: 394,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,002 : 260,598 = 260,598 : x
  2. Step 2: Convert to fraction form
    172,002/260,598 = 260,598/x
  3. Step 3: Cross multiply
    172,002x = 260,598 × 260,598
  4. Step 4: Simplify right side
    172,002x = 67,911,317,604
  5. Step 5: Solve for x
    x = 67,911,317,604/172,002
  6. Step 6: Final answer
    x = 394,828.65

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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.