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Finding the Third Proportional to 111,385 and 244,823

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Solution

The third proportional to 111,385 and 244,823 is: 538,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,385 : 244,823 = 244,823 : x
  2. Step 2: Convert to fraction form
    111,385/244,823 = 244,823/x
  3. Step 3: Cross multiply
    111,385x = 244,823 × 244,823
  4. Step 4: Simplify right side
    111,385x = 59,938,301,329
  5. Step 5: Solve for x
    x = 59,938,301,329/111,385
  6. Step 6: Final answer
    x = 538,118.25

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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.