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Finding the Third Proportional to 154,666 and 227,462

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Solution

The third proportional to 154,666 and 227,462 is: 334,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,666 : 227,462 = 227,462 : x
  2. Step 2: Convert to fraction form
    154,666/227,462 = 227,462/x
  3. Step 3: Cross multiply
    154,666x = 227,462 × 227,462
  4. Step 4: Simplify right side
    154,666x = 51,738,961,444
  5. Step 5: Solve for x
    x = 51,738,961,444/154,666
  6. Step 6: Final answer
    x = 334,520.59

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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.