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Finding the Third Proportional to 172,408 and 246,822

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Solution

The third proportional to 172,408 and 246,822 is: 353,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408 : 246,822 = 246,822 : x
  2. Step 2: Convert to fraction form
    172,408/246,822 = 246,822/x
  3. Step 3: Cross multiply
    172,408x = 246,822 × 246,822
  4. Step 4: Simplify right side
    172,408x = 60,921,099,684
  5. Step 5: Solve for x
    x = 60,921,099,684/172,408
  6. Step 6: Final answer
    x = 353,354.25

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.