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Finding the Third Proportional to 143,735.63 and 312,639.75

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Solution

The third proportional to 143,735.63 and 312,639.75 is: 680,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,735.63 : 312,639.75 = 312,639.75 : x
  2. Step 2: Convert to fraction form
    143,735.63/312,639.75 = 312,639.75/x
  3. Step 3: Cross multiply
    143,735.63x = 312,639.75 × 312,639.75
  4. Step 4: Simplify right side
    143,735.63x = 97,743,613,280.06
  5. Step 5: Solve for x
    x = 97,743,613,280.06/143,735.63
  6. Step 6: Final answer
    x = 680,023.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.