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Finding the Third Proportional to 169,264 and 367,656

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Solution

The third proportional to 169,264 and 367,656 is: 798,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,264 : 367,656 = 367,656 : x
  2. Step 2: Convert to fraction form
    169,264/367,656 = 367,656/x
  3. Step 3: Cross multiply
    169,264x = 367,656 × 367,656
  4. Step 4: Simplify right side
    169,264x = 135,170,934,336
  5. Step 5: Solve for x
    x = 135,170,934,336/169,264
  6. Step 6: Final answer
    x = 798,580.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.