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Finding the Third Proportional to 167,238 and 360,396

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Solution

The third proportional to 167,238 and 360,396 is: 776,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,238 : 360,396 = 360,396 : x
  2. Step 2: Convert to fraction form
    167,238/360,396 = 360,396/x
  3. Step 3: Cross multiply
    167,238x = 360,396 × 360,396
  4. Step 4: Simplify right side
    167,238x = 129,885,276,816
  5. Step 5: Solve for x
    x = 129,885,276,816/167,238
  6. Step 6: Final answer
    x = 776,649.31

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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.