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Finding the Third Proportional to 207,837 and 313,242.75

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Solution

The third proportional to 207,837 and 313,242.75 is: 472,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,837 : 313,242.75 = 313,242.75 : x
  2. Step 2: Convert to fraction form
    207,837/313,242.75 = 313,242.75/x
  3. Step 3: Cross multiply
    207,837x = 313,242.75 × 313,242.75
  4. Step 4: Simplify right side
    207,837x = 98,121,020,427.56
  5. Step 5: Solve for x
    x = 98,121,020,427.56/207,837
  6. Step 6: Final answer
    x = 472,105.64

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