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Finding the Third Proportional to 193,194 and 414,955

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Solution

The third proportional to 193,194 and 414,955 is: 891,268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,194 : 414,955 = 414,955 : x
  2. Step 2: Convert to fraction form
    193,194/414,955 = 414,955/x
  3. Step 3: Cross multiply
    193,194x = 414,955 × 414,955
  4. Step 4: Simplify right side
    193,194x = 172,187,652,025
  5. Step 5: Solve for x
    x = 172,187,652,025/193,194
  6. Step 6: Final answer
    x = 891,268.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.