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Finding the Third Proportional to 143,079 and 311,035

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Solution

The third proportional to 143,079 and 311,035 is: 676,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,079 : 311,035 = 311,035 : x
  2. Step 2: Convert to fraction form
    143,079/311,035 = 311,035/x
  3. Step 3: Cross multiply
    143,079x = 311,035 × 311,035
  4. Step 4: Simplify right side
    143,079x = 96,742,771,225
  5. Step 5: Solve for x
    x = 96,742,771,225/143,079
  6. Step 6: Final answer
    x = 676,149.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.