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Finding the Third Proportional to 173,252 and 376,096

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Solution

The third proportional to 173,252 and 376,096 is: 816,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,252 : 376,096 = 376,096 : x
  2. Step 2: Convert to fraction form
    173,252/376,096 = 376,096/x
  3. Step 3: Cross multiply
    173,252x = 376,096 × 376,096
  4. Step 4: Simplify right side
    173,252x = 141,448,201,216
  5. Step 5: Solve for x
    x = 141,448,201,216/173,252
  6. Step 6: Final answer
    x = 816,430.41

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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.