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Finding the Third Proportional to 154,218.75 and 230,049

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Solution

The third proportional to 154,218.75 and 230,049 is: 343,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,218.75 : 230,049 = 230,049 : x
  2. Step 2: Convert to fraction form
    154,218.75/230,049 = 230,049/x
  3. Step 3: Cross multiply
    154,218.75x = 230,049 × 230,049
  4. Step 4: Simplify right side
    154,218.75x = 52,922,542,401
  5. Step 5: Solve for x
    x = 52,922,542,401/154,218.75
  6. Step 6: Final answer
    x = 343,165.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.