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Finding the Third Proportional to 150,016 and 323,360

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Solution

The third proportional to 150,016 and 323,360 is: 697,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,016 : 323,360 = 323,360 : x
  2. Step 2: Convert to fraction form
    150,016/323,360 = 323,360/x
  3. Step 3: Cross multiply
    150,016x = 323,360 × 323,360
  4. Step 4: Simplify right side
    150,016x = 104,561,689,600
  5. Step 5: Solve for x
    x = 104,561,689,600/150,016
  6. Step 6: Final answer
    x = 697,003.58

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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.