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Finding the Third Proportional to 208,194 and 447,971

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Solution

The third proportional to 208,194 and 447,971 is: 963,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,194 : 447,971 = 447,971 : x
  2. Step 2: Convert to fraction form
    208,194/447,971 = 447,971/x
  3. Step 3: Cross multiply
    208,194x = 447,971 × 447,971
  4. Step 4: Simplify right side
    208,194x = 200,678,016,841
  5. Step 5: Solve for x
    x = 200,678,016,841/208,194
  6. Step 6: Final answer
    x = 963,899.14

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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.