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Finding the Third Proportional to 146,648.50 and 228,736.75

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Solution

The third proportional to 146,648.50 and 228,736.75 is: 356,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,648.50 : 228,736.75 = 228,736.75 : x
  2. Step 2: Convert to fraction form
    146,648.50/228,736.75 = 228,736.75/x
  3. Step 3: Cross multiply
    146,648.50x = 228,736.75 × 228,736.75
  4. Step 4: Simplify right side
    146,648.50x = 52,320,500,800.56
  5. Step 5: Solve for x
    x = 52,320,500,800.56/146,648.50
  6. Step 6: Final answer
    x = 356,774.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.