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Finding the Third Proportional to 184,561.50 and 263,921

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Solution

The third proportional to 184,561.50 and 263,921 is: 377,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,561.50 : 263,921 = 263,921 : x
  2. Step 2: Convert to fraction form
    184,561.50/263,921 = 263,921/x
  3. Step 3: Cross multiply
    184,561.50x = 263,921 × 263,921
  4. Step 4: Simplify right side
    184,561.50x = 69,654,294,241
  5. Step 5: Solve for x
    x = 69,654,294,241/184,561.50
  6. Step 6: Final answer
    x = 377,404.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.