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Finding the Third Proportional to 155,584.13 and 339,443.44

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Solution

The third proportional to 155,584.13 and 339,443.44 is: 740,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,584.13 : 339,443.44 = 339,443.44 : x
  2. Step 2: Convert to fraction form
    155,584.13/339,443.44 = 339,443.44/x
  3. Step 3: Cross multiply
    155,584.13x = 339,443.44 × 339,443.44
  4. Step 4: Simplify right side
    155,584.13x = 115,221,847,261.82
  5. Step 5: Solve for x
    x = 115,221,847,261.82/155,584.13
  6. Step 6: Final answer
    x = 740,575.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.