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Finding the Third Proportional to 167,075 and 367,229

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Solution

The third proportional to 167,075 and 367,229 is: 807,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,075 : 367,229 = 367,229 : x
  2. Step 2: Convert to fraction form
    167,075/367,229 = 367,229/x
  3. Step 3: Cross multiply
    167,075x = 367,229 × 367,229
  4. Step 4: Simplify right side
    167,075x = 134,857,138,441
  5. Step 5: Solve for x
    x = 134,857,138,441/167,075
  6. Step 6: Final answer
    x = 807,165.28

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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.