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Finding the Third Proportional to 155,773 and 340,375

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Solution

The third proportional to 155,773 and 340,375 is: 743,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,773 : 340,375 = 340,375 : x
  2. Step 2: Convert to fraction form
    155,773/340,375 = 340,375/x
  3. Step 3: Cross multiply
    155,773x = 340,375 × 340,375
  4. Step 4: Simplify right side
    155,773x = 115,855,140,625
  5. Step 5: Solve for x
    x = 115,855,140,625/155,773
  6. Step 6: Final answer
    x = 743,743.40

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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.