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Finding the Third Proportional to 168,959 and 369,074

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Solution

The third proportional to 168,959 and 369,074 is: 806,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,959 : 369,074 = 369,074 : x
  2. Step 2: Convert to fraction form
    168,959/369,074 = 369,074/x
  3. Step 3: Cross multiply
    168,959x = 369,074 × 369,074
  4. Step 4: Simplify right side
    168,959x = 136,215,617,476
  5. Step 5: Solve for x
    x = 136,215,617,476/168,959
  6. Step 6: Final answer
    x = 806,205.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.