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Finding the Third Proportional to 207,940.50 and 314,847

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Solution

The third proportional to 207,940.50 and 314,847 is: 476,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,940.50 : 314,847 = 314,847 : x
  2. Step 2: Convert to fraction form
    207,940.50/314,847 = 314,847/x
  3. Step 3: Cross multiply
    207,940.50x = 314,847 × 314,847
  4. Step 4: Simplify right side
    207,940.50x = 99,128,633,409
  5. Step 5: Solve for x
    x = 99,128,633,409/207,940.50
  6. Step 6: Final answer
    x = 476,716.34

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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.