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Finding the Third Proportional to 155,052 and 206,697

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Solution

The third proportional to 155,052 and 206,697 is: 275,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,052 : 206,697 = 206,697 : x
  2. Step 2: Convert to fraction form
    155,052/206,697 = 206,697/x
  3. Step 3: Cross multiply
    155,052x = 206,697 × 206,697
  4. Step 4: Simplify right side
    155,052x = 42,723,649,809
  5. Step 5: Solve for x
    x = 42,723,649,809/155,052
  6. Step 6: Final answer
    x = 275,544.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.