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Finding the Third Proportional to 167,567 and 359,120

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Solution

The third proportional to 167,567 and 359,120 is: 769,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,567 : 359,120 = 359,120 : x
  2. Step 2: Convert to fraction form
    167,567/359,120 = 359,120/x
  3. Step 3: Cross multiply
    167,567x = 359,120 × 359,120
  4. Step 4: Simplify right side
    167,567x = 128,967,174,400
  5. Step 5: Solve for x
    x = 128,967,174,400/167,567
  6. Step 6: Final answer
    x = 769,645.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.