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Finding the Third Proportional to 175,586 and 379,250

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Solution

The third proportional to 175,586 and 379,250 is: 819,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,586 : 379,250 = 379,250 : x
  2. Step 2: Convert to fraction form
    175,586/379,250 = 379,250/x
  3. Step 3: Cross multiply
    175,586x = 379,250 × 379,250
  4. Step 4: Simplify right side
    175,586x = 143,830,562,500
  5. Step 5: Solve for x
    x = 143,830,562,500/175,586
  6. Step 6: Final answer
    x = 819,145.96

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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.