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Finding the Third Proportional to 162,184 and 246,172

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Solution

The third proportional to 162,184 and 246,172 is: 373,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,184 : 246,172 = 246,172 : x
  2. Step 2: Convert to fraction form
    162,184/246,172 = 246,172/x
  3. Step 3: Cross multiply
    162,184x = 246,172 × 246,172
  4. Step 4: Simplify right side
    162,184x = 60,600,653,584
  5. Step 5: Solve for x
    x = 60,600,653,584/162,184
  6. Step 6: Final answer
    x = 373,653.71

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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.