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Finding the Third Proportional to 154,393.59 and 222,977.81

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Solution

The third proportional to 154,393.59 and 222,977.81 is: 322,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,393.59 : 222,977.81 = 222,977.81 : x
  2. Step 2: Convert to fraction form
    154,393.59/222,977.81 = 222,977.81/x
  3. Step 3: Cross multiply
    154,393.59x = 222,977.81 × 222,977.81
  4. Step 4: Simplify right side
    154,393.59x = 49,719,104,867.29
  5. Step 5: Solve for x
    x = 49,719,104,867.29/154,393.59
  6. Step 6: Final answer
    x = 322,028.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.