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Finding the Third Proportional to 114,223.50 and 263,256.75

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Solution

The third proportional to 114,223.50 and 263,256.75 is: 606,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,223.50 : 263,256.75 = 263,256.75 : x
  2. Step 2: Convert to fraction form
    114,223.50/263,256.75 = 263,256.75/x
  3. Step 3: Cross multiply
    114,223.50x = 263,256.75 × 263,256.75
  4. Step 4: Simplify right side
    114,223.50x = 69,304,116,420.56
  5. Step 5: Solve for x
    x = 69,304,116,420.56/114,223.50
  6. Step 6: Final answer
    x = 606,741.31

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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.