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Finding the Third Proportional to 167,856 and 373,008

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Solution

The third proportional to 167,856 and 373,008 is: 828,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,856 : 373,008 = 373,008 : x
  2. Step 2: Convert to fraction form
    167,856/373,008 = 373,008/x
  3. Step 3: Cross multiply
    167,856x = 373,008 × 373,008
  4. Step 4: Simplify right side
    167,856x = 139,134,968,064
  5. Step 5: Solve for x
    x = 139,134,968,064/167,856
  6. Step 6: Final answer
    x = 828,894.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.