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Finding the Third Proportional to 254,832 and 306,039

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Solution

The third proportional to 254,832 and 306,039 is: 367,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,832 : 306,039 = 306,039 : x
  2. Step 2: Convert to fraction form
    254,832/306,039 = 306,039/x
  3. Step 3: Cross multiply
    254,832x = 306,039 × 306,039
  4. Step 4: Simplify right side
    254,832x = 93,659,869,521
  5. Step 5: Solve for x
    x = 93,659,869,521/254,832
  6. Step 6: Final answer
    x = 367,535.75

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.