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Finding the Third Proportional to 194,888 and 426,226

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Solution

The third proportional to 194,888 and 426,226 is: 932,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,888 : 426,226 = 426,226 : x
  2. Step 2: Convert to fraction form
    194,888/426,226 = 426,226/x
  3. Step 3: Cross multiply
    194,888x = 426,226 × 426,226
  4. Step 4: Simplify right side
    194,888x = 181,668,603,076
  5. Step 5: Solve for x
    x = 181,668,603,076/194,888
  6. Step 6: Final answer
    x = 932,169.26

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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.