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Finding the Third Proportional to 111,089 and 244,336

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Solution

The third proportional to 111,089 and 244,336 is: 537,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,089 : 244,336 = 244,336 : x
  2. Step 2: Convert to fraction form
    111,089/244,336 = 244,336/x
  3. Step 3: Cross multiply
    111,089x = 244,336 × 244,336
  4. Step 4: Simplify right side
    111,089x = 59,700,080,896
  5. Step 5: Solve for x
    x = 59,700,080,896/111,089
  6. Step 6: Final answer
    x = 537,407.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.