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Finding the Third Proportional to 167,544 and 365,196

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Solution

The third proportional to 167,544 and 365,196 is: 796,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,544 : 365,196 = 365,196 : x
  2. Step 2: Convert to fraction form
    167,544/365,196 = 365,196/x
  3. Step 3: Cross multiply
    167,544x = 365,196 × 365,196
  4. Step 4: Simplify right side
    167,544x = 133,368,118,416
  5. Step 5: Solve for x
    x = 133,368,118,416/167,544
  6. Step 6: Final answer
    x = 796,018.47

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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.