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Finding the Third Proportional to 111,236.20 and 230,358.30

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Solution

The third proportional to 111,236.20 and 230,358.30 is: 477,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,236.20 : 230,358.30 = 230,358.30 : x
  2. Step 2: Convert to fraction form
    111,236.20/230,358.30 = 230,358.30/x
  3. Step 3: Cross multiply
    111,236.20x = 230,358.30 × 230,358.30
  4. Step 4: Simplify right side
    111,236.20x = 53,064,948,538.50
  5. Step 5: Solve for x
    x = 53,064,948,538.50/111,236.20
  6. Step 6: Final answer
    x = 477,047.46

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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.