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Finding the Third Proportional to 63,408 and 146,824

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Solution

The third proportional to 63,408 and 146,824 is: 339,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,408 : 146,824 = 146,824 : x
  2. Step 2: Convert to fraction form
    63,408/146,824 = 146,824/x
  3. Step 3: Cross multiply
    63,408x = 146,824 × 146,824
  4. Step 4: Simplify right side
    63,408x = 21,557,286,976
  5. Step 5: Solve for x
    x = 21,557,286,976/63,408
  6. Step 6: Final answer
    x = 339,977.40

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.