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Finding the Third Proportional to 192,328 and 418,520.50

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Solution

The third proportional to 192,328 and 418,520.50 is: 910,732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,328 : 418,520.50 = 418,520.50 : x
  2. Step 2: Convert to fraction form
    192,328/418,520.50 = 418,520.50/x
  3. Step 3: Cross multiply
    192,328x = 418,520.50 × 418,520.50
  4. Step 4: Simplify right side
    192,328x = 175,159,408,920.25
  5. Step 5: Solve for x
    x = 175,159,408,920.25/192,328
  6. Step 6: Final answer
    x = 910,732.75

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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.