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Finding the Third Proportional to 111,698 and 263,473

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Solution

The third proportional to 111,698 and 263,473 is: 621,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,698 : 263,473 = 263,473 : x
  2. Step 2: Convert to fraction form
    111,698/263,473 = 263,473/x
  3. Step 3: Cross multiply
    111,698x = 263,473 × 263,473
  4. Step 4: Simplify right side
    111,698x = 69,418,021,729
  5. Step 5: Solve for x
    x = 69,418,021,729/111,698
  6. Step 6: Final answer
    x = 621,479.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.