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Finding the Third Proportional to 172,178 and 374,848

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Solution

The third proportional to 172,178 and 374,848 is: 816,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,178 : 374,848 = 374,848 : x
  2. Step 2: Convert to fraction form
    172,178/374,848 = 374,848/x
  3. Step 3: Cross multiply
    172,178x = 374,848 × 374,848
  4. Step 4: Simplify right side
    172,178x = 140,511,023,104
  5. Step 5: Solve for x
    x = 140,511,023,104/172,178
  6. Step 6: Final answer
    x = 816,080.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.