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Finding the Third Proportional to 167,378 and 361,036

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Solution

The third proportional to 167,378 and 361,036 is: 778,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,378 : 361,036 = 361,036 : x
  2. Step 2: Convert to fraction form
    167,378/361,036 = 361,036/x
  3. Step 3: Cross multiply
    167,378x = 361,036 × 361,036
  4. Step 4: Simplify right side
    167,378x = 130,346,993,296
  5. Step 5: Solve for x
    x = 130,346,993,296/167,378
  6. Step 6: Final answer
    x = 778,758.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.