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Finding the Third Proportional to 147,408 and 221,544

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Solution

The third proportional to 147,408 and 221,544 is: 332,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,408 : 221,544 = 221,544 : x
  2. Step 2: Convert to fraction form
    147,408/221,544 = 221,544/x
  3. Step 3: Cross multiply
    147,408x = 221,544 × 221,544
  4. Step 4: Simplify right side
    147,408x = 49,081,743,936
  5. Step 5: Solve for x
    x = 49,081,743,936/147,408
  6. Step 6: Final answer
    x = 332,965.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.