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Finding the Third Proportional to 194,052 and 424,173

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Solution

The third proportional to 194,052 and 424,173 is: 927,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,052 : 424,173 = 424,173 : x
  2. Step 2: Convert to fraction form
    194,052/424,173 = 424,173/x
  3. Step 3: Cross multiply
    194,052x = 424,173 × 424,173
  4. Step 4: Simplify right side
    194,052x = 179,922,733,929
  5. Step 5: Solve for x
    x = 179,922,733,929/194,052
  6. Step 6: Final answer
    x = 927,188.25

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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.