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Finding the Third Proportional to 170,398 and 351,720

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Solution

The third proportional to 170,398 and 351,720 is: 725,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,398 : 351,720 = 351,720 : x
  2. Step 2: Convert to fraction form
    170,398/351,720 = 351,720/x
  3. Step 3: Cross multiply
    170,398x = 351,720 × 351,720
  4. Step 4: Simplify right side
    170,398x = 123,706,958,400
  5. Step 5: Solve for x
    x = 123,706,958,400/170,398
  6. Step 6: Final answer
    x = 725,988.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.