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Finding the Third Proportional to 191,568.75 and 416,297.25

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Solution

The third proportional to 191,568.75 and 416,297.25 is: 904,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,568.75 : 416,297.25 = 416,297.25 : x
  2. Step 2: Convert to fraction form
    191,568.75/416,297.25 = 416,297.25/x
  3. Step 3: Cross multiply
    191,568.75x = 416,297.25 × 416,297.25
  4. Step 4: Simplify right side
    191,568.75x = 173,303,400,357.56
  5. Step 5: Solve for x
    x = 173,303,400,357.56/191,568.75
  6. Step 6: Final answer
    x = 904,653.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.