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Finding the Third Proportional to 193,444 and 426,118

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Solution

The third proportional to 193,444 and 426,118 is: 938,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,444 : 426,118 = 426,118 : x
  2. Step 2: Convert to fraction form
    193,444/426,118 = 426,118/x
  3. Step 3: Cross multiply
    193,444x = 426,118 × 426,118
  4. Step 4: Simplify right side
    193,444x = 181,576,549,924
  5. Step 5: Solve for x
    x = 181,576,549,924/193,444
  6. Step 6: Final answer
    x = 938,651.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.