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Finding the Third Proportional to 111,138.50 and 230,053

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Solution

The third proportional to 111,138.50 and 230,053 is: 476,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,138.50 : 230,053 = 230,053 : x
  2. Step 2: Convert to fraction form
    111,138.50/230,053 = 230,053/x
  3. Step 3: Cross multiply
    111,138.50x = 230,053 × 230,053
  4. Step 4: Simplify right side
    111,138.50x = 52,924,382,809
  5. Step 5: Solve for x
    x = 52,924,382,809/111,138.50
  6. Step 6: Final answer
    x = 476,202.06

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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.