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Finding the Third Proportional to 154,930 and 236,847

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Solution

The third proportional to 154,930 and 236,847 is: 362,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,930 : 236,847 = 236,847 : x
  2. Step 2: Convert to fraction form
    154,930/236,847 = 236,847/x
  3. Step 3: Cross multiply
    154,930x = 236,847 × 236,847
  4. Step 4: Simplify right side
    154,930x = 56,096,501,409
  5. Step 5: Solve for x
    x = 56,096,501,409/154,930
  6. Step 6: Final answer
    x = 362,076.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.