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Finding the Third Proportional to 111,249 and 230,383.50

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Solution

The third proportional to 111,249 and 230,383.50 is: 477,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,249 : 230,383.50 = 230,383.50 : x
  2. Step 2: Convert to fraction form
    111,249/230,383.50 = 230,383.50/x
  3. Step 3: Cross multiply
    111,249x = 230,383.50 × 230,383.50
  4. Step 4: Simplify right side
    111,249x = 53,076,557,072.25
  5. Step 5: Solve for x
    x = 53,076,557,072.25/111,249
  6. Step 6: Final answer
    x = 477,096.94

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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.