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Finding the Third Proportional to 199,686 and 301,608

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Solution

The third proportional to 199,686 and 301,608 is: 455,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,686 : 301,608 = 301,608 : x
  2. Step 2: Convert to fraction form
    199,686/301,608 = 301,608/x
  3. Step 3: Cross multiply
    199,686x = 301,608 × 301,608
  4. Step 4: Simplify right side
    199,686x = 90,967,385,664
  5. Step 5: Solve for x
    x = 90,967,385,664/199,686
  6. Step 6: Final answer
    x = 455,552.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.