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Finding the Third Proportional to 144,408 and 300,372

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Solution

The third proportional to 144,408 and 300,372 is: 624,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,408 : 300,372 = 300,372 : x
  2. Step 2: Convert to fraction form
    144,408/300,372 = 300,372/x
  3. Step 3: Cross multiply
    144,408x = 300,372 × 300,372
  4. Step 4: Simplify right side
    144,408x = 90,223,338,384
  5. Step 5: Solve for x
    x = 90,223,338,384/144,408
  6. Step 6: Final answer
    x = 624,780.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.