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Finding the Third Proportional to 143,811 and 313,575.75

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Solution

The third proportional to 143,811 and 313,575.75 is: 683,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,811 : 313,575.75 = 313,575.75 : x
  2. Step 2: Convert to fraction form
    143,811/313,575.75 = 313,575.75/x
  3. Step 3: Cross multiply
    143,811x = 313,575.75 × 313,575.75
  4. Step 4: Simplify right side
    143,811x = 98,329,750,988.06
  5. Step 5: Solve for x
    x = 98,329,750,988.06/143,811
  6. Step 6: Final answer
    x = 683,742.91

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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.