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Finding the Third Proportional to 143,430 and 311,736

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Solution

The third proportional to 143,430 and 311,736 is: 677,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,430 : 311,736 = 311,736 : x
  2. Step 2: Convert to fraction form
    143,430/311,736 = 311,736/x
  3. Step 3: Cross multiply
    143,430x = 311,736 × 311,736
  4. Step 4: Simplify right side
    143,430x = 97,179,333,696
  5. Step 5: Solve for x
    x = 97,179,333,696/143,430
  6. Step 6: Final answer
    x = 677,538.41

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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.