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Finding the Third Proportional to 143,235 and 311,958

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Solution

The third proportional to 143,235 and 311,958 is: 679,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,235 : 311,958 = 311,958 : x
  2. Step 2: Convert to fraction form
    143,235/311,958 = 311,958/x
  3. Step 3: Cross multiply
    143,235x = 311,958 × 311,958
  4. Step 4: Simplify right side
    143,235x = 97,317,793,764
  5. Step 5: Solve for x
    x = 97,317,793,764/143,235
  6. Step 6: Final answer
    x = 679,427.47

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Why These Related Problems?

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