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Finding the Third Proportional to 150,417 and 324,344.25

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Solution

The third proportional to 150,417 and 324,344.25 is: 699,383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,417 : 324,344.25 = 324,344.25 : x
  2. Step 2: Convert to fraction form
    150,417/324,344.25 = 324,344.25/x
  3. Step 3: Cross multiply
    150,417x = 324,344.25 × 324,344.25
  4. Step 4: Simplify right side
    150,417x = 105,199,192,508.06
  5. Step 5: Solve for x
    x = 105,199,192,508.06/150,417
  6. Step 6: Final answer
    x = 699,383.66

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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.