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Finding the Third Proportional to 167,420 and 367,888

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Solution

The third proportional to 167,420 and 367,888 is: 808,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,420 : 367,888 = 367,888 : x
  2. Step 2: Convert to fraction form
    167,420/367,888 = 367,888/x
  3. Step 3: Cross multiply
    167,420x = 367,888 × 367,888
  4. Step 4: Simplify right side
    167,420x = 135,341,580,544
  5. Step 5: Solve for x
    x = 135,341,580,544/167,420
  6. Step 6: Final answer
    x = 808,395.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.