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Finding the Third Proportional to 147,936 and 226,848

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Solution

The third proportional to 147,936 and 226,848 is: 347,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,936 : 226,848 = 226,848 : x
  2. Step 2: Convert to fraction form
    147,936/226,848 = 226,848/x
  3. Step 3: Cross multiply
    147,936x = 226,848 × 226,848
  4. Step 4: Simplify right side
    147,936x = 51,460,015,104
  5. Step 5: Solve for x
    x = 51,460,015,104/147,936
  6. Step 6: Final answer
    x = 347,853.23

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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.