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Finding the Third Proportional to 175,252 and 382,936

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Solution

The third proportional to 175,252 and 382,936 is: 836,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,252 : 382,936 = 382,936 : x
  2. Step 2: Convert to fraction form
    175,252/382,936 = 382,936/x
  3. Step 3: Cross multiply
    175,252x = 382,936 × 382,936
  4. Step 4: Simplify right side
    175,252x = 146,639,980,096
  5. Step 5: Solve for x
    x = 146,639,980,096/175,252
  6. Step 6: Final answer
    x = 836,737.84

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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.