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Finding the Third Proportional to 194,886 and 426,222

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Solution

The third proportional to 194,886 and 426,222 is: 932,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,886 : 426,222 = 426,222 : x
  2. Step 2: Convert to fraction form
    194,886/426,222 = 426,222/x
  3. Step 3: Cross multiply
    194,886x = 426,222 × 426,222
  4. Step 4: Simplify right side
    194,886x = 181,665,193,284
  5. Step 5: Solve for x
    x = 181,665,193,284/194,886
  6. Step 6: Final answer
    x = 932,161.33

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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.