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Finding the Third Proportional to 207,628.31 and 318,299.63

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Solution

The third proportional to 207,628.31 and 318,299.63 is: 487,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,628.31 : 318,299.63 = 318,299.63 : x
  2. Step 2: Convert to fraction form
    207,628.31/318,299.63 = 318,299.63/x
  3. Step 3: Cross multiply
    207,628.31x = 318,299.63 × 318,299.63
  4. Step 4: Simplify right side
    207,628.31x = 101,314,651,275.14
  5. Step 5: Solve for x
    x = 101,314,651,275.14/207,628.31
  6. Step 6: Final answer
    x = 487,961.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.