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Finding the Third Proportional to 114,213 and 263,230

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Solution

The third proportional to 114,213 and 263,230 is: 606,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,213 : 263,230 = 263,230 : x
  2. Step 2: Convert to fraction form
    114,213/263,230 = 263,230/x
  3. Step 3: Cross multiply
    114,213x = 263,230 × 263,230
  4. Step 4: Simplify right side
    114,213x = 69,290,032,900
  5. Step 5: Solve for x
    x = 69,290,032,900/114,213
  6. Step 6: Final answer
    x = 606,673.78

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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.