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Finding the Third Proportional to 167,800 and 372,896

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Solution

The third proportional to 167,800 and 372,896 is: 828,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,800 : 372,896 = 372,896 : x
  2. Step 2: Convert to fraction form
    167,800/372,896 = 372,896/x
  3. Step 3: Cross multiply
    167,800x = 372,896 × 372,896
  4. Step 4: Simplify right side
    167,800x = 139,051,426,816
  5. Step 5: Solve for x
    x = 139,051,426,816/167,800
  6. Step 6: Final answer
    x = 828,673.58

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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.