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Finding the Third Proportional to 150,411 and 325,302

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Solution

The third proportional to 150,411 and 325,302 is: 703,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,411 : 325,302 = 325,302 : x
  2. Step 2: Convert to fraction form
    150,411/325,302 = 325,302/x
  3. Step 3: Cross multiply
    150,411x = 325,302 × 325,302
  4. Step 4: Simplify right side
    150,411x = 105,821,391,204
  5. Step 5: Solve for x
    x = 105,821,391,204/150,411
  6. Step 6: Final answer
    x = 703,548.22

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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.