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Finding the Third Proportional to 142,454 and 303,976

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Solution

The third proportional to 142,454 and 303,976 is: 648,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,454 : 303,976 = 303,976 : x
  2. Step 2: Convert to fraction form
    142,454/303,976 = 303,976/x
  3. Step 3: Cross multiply
    142,454x = 303,976 × 303,976
  4. Step 4: Simplify right side
    142,454x = 92,401,408,576
  5. Step 5: Solve for x
    x = 92,401,408,576/142,454
  6. Step 6: Final answer
    x = 648,640.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.