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Finding the Third Proportional to 177,362 and 385,756

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Solution

The third proportional to 177,362 and 385,756 is: 839,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,362 : 385,756 = 385,756 : x
  2. Step 2: Convert to fraction form
    177,362/385,756 = 385,756/x
  3. Step 3: Cross multiply
    177,362x = 385,756 × 385,756
  4. Step 4: Simplify right side
    177,362x = 148,807,691,536
  5. Step 5: Solve for x
    x = 148,807,691,536/177,362
  6. Step 6: Final answer
    x = 839,005.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.