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Finding the Third Proportional to 136,665 and 295,794

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Solution

The third proportional to 136,665 and 295,794 is: 640,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,665 : 295,794 = 295,794 : x
  2. Step 2: Convert to fraction form
    136,665/295,794 = 295,794/x
  3. Step 3: Cross multiply
    136,665x = 295,794 × 295,794
  4. Step 4: Simplify right side
    136,665x = 87,494,090,436
  5. Step 5: Solve for x
    x = 87,494,090,436/136,665
  6. Step 6: Final answer
    x = 640,208.47

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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.