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Finding the Third Proportional to 175,906.13 and 343,064.25

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Solution

The third proportional to 175,906.13 and 343,064.25 is: 669,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,906.13 : 343,064.25 = 343,064.25 : x
  2. Step 2: Convert to fraction form
    175,906.13/343,064.25 = 343,064.25/x
  3. Step 3: Cross multiply
    175,906.13x = 343,064.25 × 343,064.25
  4. Step 4: Simplify right side
    175,906.13x = 117,693,079,628.06
  5. Step 5: Solve for x
    x = 117,693,079,628.06/175,906.13
  6. Step 6: Final answer
    x = 669,067.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.