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Finding the Third Proportional to 175,932 and 379,512

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Solution

The third proportional to 175,932 and 379,512 is: 818,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,932 : 379,512 = 379,512 : x
  2. Step 2: Convert to fraction form
    175,932/379,512 = 379,512/x
  3. Step 3: Cross multiply
    175,932x = 379,512 × 379,512
  4. Step 4: Simplify right side
    175,932x = 144,029,358,144
  5. Step 5: Solve for x
    x = 144,029,358,144/175,932
  6. Step 6: Final answer
    x = 818,664.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.