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Finding the Third Proportional to 187,872.75 and 384,945.75

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Solution

The third proportional to 187,872.75 and 384,945.75 is: 788,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,872.75 : 384,945.75 = 384,945.75 : x
  2. Step 2: Convert to fraction form
    187,872.75/384,945.75 = 384,945.75/x
  3. Step 3: Cross multiply
    187,872.75x = 384,945.75 × 384,945.75
  4. Step 4: Simplify right side
    187,872.75x = 148,183,230,443.06
  5. Step 5: Solve for x
    x = 148,183,230,443.06/187,872.75
  6. Step 6: Final answer
    x = 788,742.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.