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Finding the Third Proportional to 154,881 and 227,785

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Solution

The third proportional to 154,881 and 227,785 is: 335,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,881 : 227,785 = 227,785 : x
  2. Step 2: Convert to fraction form
    154,881/227,785 = 227,785/x
  3. Step 3: Cross multiply
    154,881x = 227,785 × 227,785
  4. Step 4: Simplify right side
    154,881x = 51,886,006,225
  5. Step 5: Solve for x
    x = 51,886,006,225/154,881
  6. Step 6: Final answer
    x = 335,005.63

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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.