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Finding the Third Proportional to 175,108 and 381,928

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Solution

The third proportional to 175,108 and 381,928 is: 833,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,108 : 381,928 = 381,928 : x
  2. Step 2: Convert to fraction form
    175,108/381,928 = 381,928/x
  3. Step 3: Cross multiply
    175,108x = 381,928 × 381,928
  4. Step 4: Simplify right side
    175,108x = 145,868,997,184
  5. Step 5: Solve for x
    x = 145,868,997,184/175,108
  6. Step 6: Final answer
    x = 833,023.03

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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.