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Finding the Third Proportional to 154,797.75 and 319,231.13

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Solution

The third proportional to 154,797.75 and 319,231.13 is: 658,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,797.75 : 319,231.13 = 319,231.13 : x
  2. Step 2: Convert to fraction form
    154,797.75/319,231.13 = 319,231.13/x
  3. Step 3: Cross multiply
    154,797.75x = 319,231.13 × 319,231.13
  4. Step 4: Simplify right side
    154,797.75x = 101,908,511,168.77
  5. Step 5: Solve for x
    x = 101,908,511,168.77/154,797.75
  6. Step 6: Final answer
    x = 658,333.28

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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.