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Finding the Third Proportional to 167,071 and 360,223

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Solution

The third proportional to 167,071 and 360,223 is: 776,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,071 : 360,223 = 360,223 : x
  2. Step 2: Convert to fraction form
    167,071/360,223 = 360,223/x
  3. Step 3: Cross multiply
    167,071x = 360,223 × 360,223
  4. Step 4: Simplify right side
    167,071x = 129,760,609,729
  5. Step 5: Solve for x
    x = 129,760,609,729/167,071
  6. Step 6: Final answer
    x = 776,679.43

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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.