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Finding the Third Proportional to 178,284 and 371,512

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Solution

The third proportional to 178,284 and 371,512 is: 774,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,284 : 371,512 = 371,512 : x
  2. Step 2: Convert to fraction form
    178,284/371,512 = 371,512/x
  3. Step 3: Cross multiply
    178,284x = 371,512 × 371,512
  4. Step 4: Simplify right side
    178,284x = 138,021,166,144
  5. Step 5: Solve for x
    x = 138,021,166,144/178,284
  6. Step 6: Final answer
    x = 774,164.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.