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Finding the Third Proportional to 146,052 and 318,408

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Solution

The third proportional to 146,052 and 318,408 is: 694,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,052 : 318,408 = 318,408 : x
  2. Step 2: Convert to fraction form
    146,052/318,408 = 318,408/x
  3. Step 3: Cross multiply
    146,052x = 318,408 × 318,408
  4. Step 4: Simplify right side
    146,052x = 101,383,654,464
  5. Step 5: Solve for x
    x = 101,383,654,464/146,052
  6. Step 6: Final answer
    x = 694,161.36

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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.