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Finding the Third Proportional to 110,701.27 and 232,556.06

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Solution

The third proportional to 110,701.27 and 232,556.06 is: 488,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,701.27 : 232,556.06 = 232,556.06 : x
  2. Step 2: Convert to fraction form
    110,701.27/232,556.06 = 232,556.06/x
  3. Step 3: Cross multiply
    110,701.27x = 232,556.06 × 232,556.06
  4. Step 4: Simplify right side
    110,701.27x = 54,082,322,205.50
  5. Step 5: Solve for x
    x = 54,082,322,205.50/110,701.27
  6. Step 6: Final answer
    x = 488,542.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.