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Finding the Third Proportional to 174,975 and 360,992

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Solution

The third proportional to 174,975 and 360,992 is: 744,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,975 : 360,992 = 360,992 : x
  2. Step 2: Convert to fraction form
    174,975/360,992 = 360,992/x
  3. Step 3: Cross multiply
    174,975x = 360,992 × 360,992
  4. Step 4: Simplify right side
    174,975x = 130,315,224,064
  5. Step 5: Solve for x
    x = 130,315,224,064/174,975
  6. Step 6: Final answer
    x = 744,764.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.