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Finding the Third Proportional to 177,036 and 382,244

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Solution

The third proportional to 177,036 and 382,244 is: 825,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,036 : 382,244 = 382,244 : x
  2. Step 2: Convert to fraction form
    177,036/382,244 = 382,244/x
  3. Step 3: Cross multiply
    177,036x = 382,244 × 382,244
  4. Step 4: Simplify right side
    177,036x = 146,110,475,536
  5. Step 5: Solve for x
    x = 146,110,475,536/177,036
  6. Step 6: Final answer
    x = 825,315.05

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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.