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Finding the Third Proportional to 194,933.25 and 426,613.88

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Solution

The third proportional to 194,933.25 and 426,613.88 is: 933,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,933.25 : 426,613.88 = 426,613.88 : x
  2. Step 2: Convert to fraction form
    194,933.25/426,613.88 = 426,613.88/x
  3. Step 3: Cross multiply
    194,933.25x = 426,613.88 × 426,613.88
  4. Step 4: Simplify right side
    194,933.25x = 181,999,398,342.52
  5. Step 5: Solve for x
    x = 181,999,398,342.52/194,933.25
  6. Step 6: Final answer
    x = 933,649.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.