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Finding the Third Proportional to 173,595 and 380,542

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Solution

The third proportional to 173,595 and 380,542 is: 834,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,595 : 380,542 = 380,542 : x
  2. Step 2: Convert to fraction form
    173,595/380,542 = 380,542/x
  3. Step 3: Cross multiply
    173,595x = 380,542 × 380,542
  4. Step 4: Simplify right side
    173,595x = 144,812,213,764
  5. Step 5: Solve for x
    x = 144,812,213,764/173,595
  6. Step 6: Final answer
    x = 834,195.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.