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Finding the Third Proportional to 175,586 and 379,252

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Solution

The third proportional to 175,586 and 379,252 is: 819,154.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,586 : 379,252 = 379,252 : x
  2. Step 2: Convert to fraction form
    175,586/379,252 = 379,252/x
  3. Step 3: Cross multiply
    175,586x = 379,252 × 379,252
  4. Step 4: Simplify right side
    175,586x = 143,832,079,504
  5. Step 5: Solve for x
    x = 143,832,079,504/175,586
  6. Step 6: Final answer
    x = 819,154.60

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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.