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Finding the Third Proportional to 114,219 and 263,245.50

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Solution

The third proportional to 114,219 and 263,245.50 is: 606,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,219 : 263,245.50 = 263,245.50 : x
  2. Step 2: Convert to fraction form
    114,219/263,245.50 = 263,245.50/x
  3. Step 3: Cross multiply
    114,219x = 263,245.50 × 263,245.50
  4. Step 4: Simplify right side
    114,219x = 69,298,193,270.25
  5. Step 5: Solve for x
    x = 69,298,193,270.25/114,219
  6. Step 6: Final answer
    x = 606,713.36

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.