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Finding the Third Proportional to 154,874 and 227,775

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Solution

The third proportional to 154,874 and 227,775 is: 334,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,874 : 227,775 = 227,775 : x
  2. Step 2: Convert to fraction form
    154,874/227,775 = 227,775/x
  3. Step 3: Cross multiply
    154,874x = 227,775 × 227,775
  4. Step 4: Simplify right side
    154,874x = 51,881,450,625
  5. Step 5: Solve for x
    x = 51,881,450,625/154,874
  6. Step 6: Final answer
    x = 334,991.35

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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.