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Finding the Third Proportional to 173,936 and 377,615

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Solution

The third proportional to 173,936 and 377,615 is: 819,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,936 : 377,615 = 377,615 : x
  2. Step 2: Convert to fraction form
    173,936/377,615 = 377,615/x
  3. Step 3: Cross multiply
    173,936x = 377,615 × 377,615
  4. Step 4: Simplify right side
    173,936x = 142,593,088,225
  5. Step 5: Solve for x
    x = 142,593,088,225/173,936
  6. Step 6: Final answer
    x = 819,802.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.