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Finding the Third Proportional to 175,072 and 356,556

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Solution

The third proportional to 175,072 and 356,556 is: 726,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,072 : 356,556 = 356,556 : x
  2. Step 2: Convert to fraction form
    175,072/356,556 = 356,556/x
  3. Step 3: Cross multiply
    175,072x = 356,556 × 356,556
  4. Step 4: Simplify right side
    175,072x = 127,132,181,136
  5. Step 5: Solve for x
    x = 127,132,181,136/175,072
  6. Step 6: Final answer
    x = 726,170.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.