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Finding the Third Proportional to 179,846 and 378,196

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Solution

The third proportional to 179,846 and 378,196 is: 795,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,846 : 378,196 = 378,196 : x
  2. Step 2: Convert to fraction form
    179,846/378,196 = 378,196/x
  3. Step 3: Cross multiply
    179,846x = 378,196 × 378,196
  4. Step 4: Simplify right side
    179,846x = 143,032,214,416
  5. Step 5: Solve for x
    x = 143,032,214,416/179,846
  6. Step 6: Final answer
    x = 795,303.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.