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Finding the Third Proportional to 155,768.63 and 340,367.63

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Solution

The third proportional to 155,768.63 and 340,367.63 is: 743,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,768.63 : 340,367.63 = 340,367.63 : x
  2. Step 2: Convert to fraction form
    155,768.63/340,367.63 = 340,367.63/x
  3. Step 3: Cross multiply
    155,768.63x = 340,367.63 × 340,367.63
  4. Step 4: Simplify right side
    155,768.63x = 115,850,120,148.14
  5. Step 5: Solve for x
    x = 115,850,120,148.14/155,768.63
  6. Step 6: Final answer
    x = 743,732.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.