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Finding the Third Proportional to 114,201 and 263,207.25

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Solution

The third proportional to 114,201 and 263,207.25 is: 606,632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,201 : 263,207.25 = 263,207.25 : x
  2. Step 2: Convert to fraction form
    114,201/263,207.25 = 263,207.25/x
  3. Step 3: Cross multiply
    114,201x = 263,207.25 × 263,207.25
  4. Step 4: Simplify right side
    114,201x = 69,278,056,452.56
  5. Step 5: Solve for x
    x = 69,278,056,452.56/114,201
  6. Step 6: Final answer
    x = 606,632.66

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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.