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Finding the Third Proportional to 190,544 and 426,196

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Solution

The third proportional to 190,544 and 426,196 is: 953,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,544 : 426,196 = 426,196 : x
  2. Step 2: Convert to fraction form
    190,544/426,196 = 426,196/x
  3. Step 3: Cross multiply
    190,544x = 426,196 × 426,196
  4. Step 4: Simplify right side
    190,544x = 181,643,030,416
  5. Step 5: Solve for x
    x = 181,643,030,416/190,544
  6. Step 6: Final answer
    x = 953,286.54

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.