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Finding the Third Proportional to 111,958 and 230,484

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Solution

The third proportional to 111,958 and 230,484 is: 474,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,958 : 230,484 = 230,484 : x
  2. Step 2: Convert to fraction form
    111,958/230,484 = 230,484/x
  3. Step 3: Cross multiply
    111,958x = 230,484 × 230,484
  4. Step 4: Simplify right side
    111,958x = 53,122,874,256
  5. Step 5: Solve for x
    x = 53,122,874,256/111,958
  6. Step 6: Final answer
    x = 474,489.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.