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Finding the Third Proportional to 167,104 and 360,056

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Solution

The third proportional to 167,104 and 360,056 is: 775,806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,104 : 360,056 = 360,056 : x
  2. Step 2: Convert to fraction form
    167,104/360,056 = 360,056/x
  3. Step 3: Cross multiply
    167,104x = 360,056 × 360,056
  4. Step 4: Simplify right side
    167,104x = 129,640,323,136
  5. Step 5: Solve for x
    x = 129,640,323,136/167,104
  6. Step 6: Final answer
    x = 775,806.22

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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.