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Finding the Third Proportional to 111,836 and 240,355

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Solution

The third proportional to 111,836 and 240,355 is: 516,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,836 : 240,355 = 240,355 : x
  2. Step 2: Convert to fraction form
    111,836/240,355 = 240,355/x
  3. Step 3: Cross multiply
    111,836x = 240,355 × 240,355
  4. Step 4: Simplify right side
    111,836x = 57,770,526,025
  5. Step 5: Solve for x
    x = 57,770,526,025/111,836
  6. Step 6: Final answer
    x = 516,564.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.