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Finding the Third Proportional to 111,477 and 244,080

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Solution

The third proportional to 111,477 and 244,080 is: 534,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,477 : 244,080 = 244,080 : x
  2. Step 2: Convert to fraction form
    111,477/244,080 = 244,080/x
  3. Step 3: Cross multiply
    111,477x = 244,080 × 244,080
  4. Step 4: Simplify right side
    111,477x = 59,575,046,400
  5. Step 5: Solve for x
    x = 59,575,046,400/111,477
  6. Step 6: Final answer
    x = 534,415.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.