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Finding the Third Proportional to 154,886 and 227,791

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Solution

The third proportional to 154,886 and 227,791 is: 335,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,886 : 227,791 = 227,791 : x
  2. Step 2: Convert to fraction form
    154,886/227,791 = 227,791/x
  3. Step 3: Cross multiply
    154,886x = 227,791 × 227,791
  4. Step 4: Simplify right side
    154,886x = 51,888,739,681
  5. Step 5: Solve for x
    x = 51,888,739,681/154,886
  6. Step 6: Final answer
    x = 335,012.46

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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.