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Finding the Third Proportional to 154,821.75 and 238,041

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Solution

The third proportional to 154,821.75 and 238,041 is: 365,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,821.75 : 238,041 = 238,041 : x
  2. Step 2: Convert to fraction form
    154,821.75/238,041 = 238,041/x
  3. Step 3: Cross multiply
    154,821.75x = 238,041 × 238,041
  4. Step 4: Simplify right side
    154,821.75x = 56,663,517,681
  5. Step 5: Solve for x
    x = 56,663,517,681/154,821.75
  6. Step 6: Final answer
    x = 365,991.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.