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Finding the Third Proportional to 154,872 and 227,772

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Solution

The third proportional to 154,872 and 227,772 is: 334,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,872 : 227,772 = 227,772 : x
  2. Step 2: Convert to fraction form
    154,872/227,772 = 227,772/x
  3. Step 3: Cross multiply
    154,872x = 227,772 × 227,772
  4. Step 4: Simplify right side
    154,872x = 51,880,083,984
  5. Step 5: Solve for x
    x = 51,880,083,984/154,872
  6. Step 6: Final answer
    x = 334,986.85

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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.