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Finding the Third Proportional to 177,504 and 382,072

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Solution

The third proportional to 177,504 and 382,072 is: 822,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,504 : 382,072 = 382,072 : x
  2. Step 2: Convert to fraction form
    177,504/382,072 = 382,072/x
  3. Step 3: Cross multiply
    177,504x = 382,072 × 382,072
  4. Step 4: Simplify right side
    177,504x = 145,979,013,184
  5. Step 5: Solve for x
    x = 145,979,013,184/177,504
  6. Step 6: Final answer
    x = 822,398.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.