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Finding the Third Proportional to 154,869 and 319,686

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Solution

The third proportional to 154,869 and 319,686 is: 659,907.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,869 : 319,686 = 319,686 : x
  2. Step 2: Convert to fraction form
    154,869/319,686 = 319,686/x
  3. Step 3: Cross multiply
    154,869x = 319,686 × 319,686
  4. Step 4: Simplify right side
    154,869x = 102,199,138,596
  5. Step 5: Solve for x
    x = 102,199,138,596/154,869
  6. Step 6: Final answer
    x = 659,907.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.