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Finding the Third Proportional to 142,048 and 311,744

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Solution

The third proportional to 142,048 and 311,744 is: 684,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,048 : 311,744 = 311,744 : x
  2. Step 2: Convert to fraction form
    142,048/311,744 = 311,744/x
  3. Step 3: Cross multiply
    142,048x = 311,744 × 311,744
  4. Step 4: Simplify right side
    142,048x = 97,184,321,536
  5. Step 5: Solve for x
    x = 97,184,321,536/142,048
  6. Step 6: Final answer
    x = 684,165.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.