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Finding the Third Proportional to 208,066 and 313,971

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Solution

The third proportional to 208,066 and 313,971 is: 473,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,066 : 313,971 = 313,971 : x
  2. Step 2: Convert to fraction form
    208,066/313,971 = 313,971/x
  3. Step 3: Cross multiply
    208,066x = 313,971 × 313,971
  4. Step 4: Simplify right side
    208,066x = 98,577,788,841
  5. Step 5: Solve for x
    x = 98,577,788,841/208,066
  6. Step 6: Final answer
    x = 473,781.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.