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Finding the Third Proportional to 173,896 and 381,044

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Solution

The third proportional to 173,896 and 381,044 is: 834,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,896 : 381,044 = 381,044 : x
  2. Step 2: Convert to fraction form
    173,896/381,044 = 381,044/x
  3. Step 3: Cross multiply
    173,896x = 381,044 × 381,044
  4. Step 4: Simplify right side
    173,896x = 145,194,529,936
  5. Step 5: Solve for x
    x = 145,194,529,936/173,896
  6. Step 6: Final answer
    x = 834,950.37

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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.