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Finding the Third Proportional to 111,618 and 263,437

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Solution

The third proportional to 111,618 and 263,437 is: 621,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,618 : 263,437 = 263,437 : x
  2. Step 2: Convert to fraction form
    111,618/263,437 = 263,437/x
  3. Step 3: Cross multiply
    111,618x = 263,437 × 263,437
  4. Step 4: Simplify right side
    111,618x = 69,399,052,969
  5. Step 5: Solve for x
    x = 69,399,052,969/111,618
  6. Step 6: Final answer
    x = 621,755.03

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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.