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Finding the Third Proportional to 154,686 and 246,138.25

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Solution

The third proportional to 154,686 and 246,138.25 is: 391,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,686 : 246,138.25 = 246,138.25 : x
  2. Step 2: Convert to fraction form
    154,686/246,138.25 = 246,138.25/x
  3. Step 3: Cross multiply
    154,686x = 246,138.25 × 246,138.25
  4. Step 4: Simplify right side
    154,686x = 60,584,038,113.06
  5. Step 5: Solve for x
    x = 60,584,038,113.06/154,686
  6. Step 6: Final answer
    x = 391,658.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.