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Finding the Third Proportional to 191,852 and 448,104

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Solution

The third proportional to 191,852 and 448,104 is: 1,046,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,852 : 448,104 = 448,104 : x
  2. Step 2: Convert to fraction form
    191,852/448,104 = 448,104/x
  3. Step 3: Cross multiply
    191,852x = 448,104 × 448,104
  4. Step 4: Simplify right side
    191,852x = 200,797,194,816
  5. Step 5: Solve for x
    x = 200,797,194,816/191,852
  6. Step 6: Final answer
    x = 1,046,625.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.