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Finding the Third Proportional to 207,636.75 and 318,309.75

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Solution

The third proportional to 207,636.75 and 318,309.75 is: 487,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,636.75 : 318,309.75 = 318,309.75 : x
  2. Step 2: Convert to fraction form
    207,636.75/318,309.75 = 318,309.75/x
  3. Step 3: Cross multiply
    207,636.75x = 318,309.75 × 318,309.75
  4. Step 4: Simplify right side
    207,636.75x = 101,321,096,945.06
  5. Step 5: Solve for x
    x = 101,321,096,945.06/207,636.75
  6. Step 6: Final answer
    x = 487,972.85

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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.