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Finding the Third Proportional to 207,986 and 313,841

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Solution

The third proportional to 207,986 and 313,841 is: 473,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,986 : 313,841 = 313,841 : x
  2. Step 2: Convert to fraction form
    207,986/313,841 = 313,841/x
  3. Step 3: Cross multiply
    207,986x = 313,841 × 313,841
  4. Step 4: Simplify right side
    207,986x = 98,496,173,281
  5. Step 5: Solve for x
    x = 98,496,173,281/207,986
  6. Step 6: Final answer
    x = 473,571.17

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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.