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Finding the Third Proportional to 193,886 and 415,852

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Solution

The third proportional to 193,886 and 415,852 is: 891,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,886 : 415,852 = 415,852 : x
  2. Step 2: Convert to fraction form
    193,886/415,852 = 415,852/x
  3. Step 3: Cross multiply
    193,886x = 415,852 × 415,852
  4. Step 4: Simplify right side
    193,886x = 172,932,885,904
  5. Step 5: Solve for x
    x = 172,932,885,904/193,886
  6. Step 6: Final answer
    x = 891,930.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.