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Finding the Third Proportional to 130,078.50 and 263,745.25

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Solution

The third proportional to 130,078.50 and 263,745.25 is: 534,765.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,078.50 : 263,745.25 = 263,745.25 : x
  2. Step 2: Convert to fraction form
    130,078.50/263,745.25 = 263,745.25/x
  3. Step 3: Cross multiply
    130,078.50x = 263,745.25 × 263,745.25
  4. Step 4: Simplify right side
    130,078.50x = 69,561,556,897.56
  5. Step 5: Solve for x
    x = 69,561,556,897.56/130,078.50
  6. Step 6: Final answer
    x = 534,765.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.