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Finding the Third Proportional to 194,140 and 415,268

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Solution

The third proportional to 194,140 and 415,268 is: 888,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,140 : 415,268 = 415,268 : x
  2. Step 2: Convert to fraction form
    194,140/415,268 = 415,268/x
  3. Step 3: Cross multiply
    194,140x = 415,268 × 415,268
  4. Step 4: Simplify right side
    194,140x = 172,447,511,824
  5. Step 5: Solve for x
    x = 172,447,511,824/194,140
  6. Step 6: Final answer
    x = 888,263.69

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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.