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Finding the Third Proportional to 167,881 and 360,608

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Solution

The third proportional to 167,881 and 360,608 is: 774,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,881 : 360,608 = 360,608 : x
  2. Step 2: Convert to fraction form
    167,881/360,608 = 360,608/x
  3. Step 3: Cross multiply
    167,881x = 360,608 × 360,608
  4. Step 4: Simplify right side
    167,881x = 130,038,129,664
  5. Step 5: Solve for x
    x = 130,038,129,664/167,881
  6. Step 6: Final answer
    x = 774,585.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.