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Finding the Third Proportional to 177,351 and 385,806

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Solution

The third proportional to 177,351 and 385,806 is: 839,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,351 : 385,806 = 385,806 : x
  2. Step 2: Convert to fraction form
    177,351/385,806 = 385,806/x
  3. Step 3: Cross multiply
    177,351x = 385,806 × 385,806
  4. Step 4: Simplify right side
    177,351x = 148,846,269,636
  5. Step 5: Solve for x
    x = 148,846,269,636/177,351
  6. Step 6: Final answer
    x = 839,275.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.