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Finding the Third Proportional to 172,168 and 260,848

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Solution

The third proportional to 172,168 and 260,848 is: 395,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,168 : 260,848 = 260,848 : x
  2. Step 2: Convert to fraction form
    172,168/260,848 = 260,848/x
  3. Step 3: Cross multiply
    172,168x = 260,848 × 260,848
  4. Step 4: Simplify right side
    172,168x = 68,041,679,104
  5. Step 5: Solve for x
    x = 68,041,679,104/172,168
  6. Step 6: Final answer
    x = 395,205.14

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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.