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Finding the Third Proportional to 114,225.75 and 263,265.75

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Solution

The third proportional to 114,225.75 and 263,265.75 is: 606,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,225.75 : 263,265.75 = 263,265.75 : x
  2. Step 2: Convert to fraction form
    114,225.75/263,265.75 = 263,265.75/x
  3. Step 3: Cross multiply
    114,225.75x = 263,265.75 × 263,265.75
  4. Step 4: Simplify right side
    114,225.75x = 69,308,855,123.06
  5. Step 5: Solve for x
    x = 69,308,855,123.06/114,225.75
  6. Step 6: Final answer
    x = 606,770.85

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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.