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Finding the Third Proportional to 154,551.75 and 245,193

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Solution

The third proportional to 154,551.75 and 245,193 is: 388,993.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,551.75 : 245,193 = 245,193 : x
  2. Step 2: Convert to fraction form
    154,551.75/245,193 = 245,193/x
  3. Step 3: Cross multiply
    154,551.75x = 245,193 × 245,193
  4. Step 4: Simplify right side
    154,551.75x = 60,119,607,249
  5. Step 5: Solve for x
    x = 60,119,607,249/154,551.75
  6. Step 6: Final answer
    x = 388,993.38

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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.