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Finding the Third Proportional to 111,176 and 230,128

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Solution

The third proportional to 111,176 and 230,128 is: 476,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,176 : 230,128 = 230,128 : x
  2. Step 2: Convert to fraction form
    111,176/230,128 = 230,128/x
  3. Step 3: Cross multiply
    111,176x = 230,128 × 230,128
  4. Step 4: Simplify right side
    111,176x = 52,958,896,384
  5. Step 5: Solve for x
    x = 52,958,896,384/111,176
  6. Step 6: Final answer
    x = 476,351.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.