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Finding the Third Proportional to 154,467 and 227,022.75

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Solution

The third proportional to 154,467 and 227,022.75 is: 333,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,467 : 227,022.75 = 227,022.75 : x
  2. Step 2: Convert to fraction form
    154,467/227,022.75 = 227,022.75/x
  3. Step 3: Cross multiply
    154,467x = 227,022.75 × 227,022.75
  4. Step 4: Simplify right side
    154,467x = 51,539,329,017.56
  5. Step 5: Solve for x
    x = 51,539,329,017.56/154,467
  6. Step 6: Final answer
    x = 333,659.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.