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Finding the Third Proportional to 171,072 and 353,052

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Solution

The third proportional to 171,072 and 353,052 is: 728,615.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,072 : 353,052 = 353,052 : x
  2. Step 2: Convert to fraction form
    171,072/353,052 = 353,052/x
  3. Step 3: Cross multiply
    171,072x = 353,052 × 353,052
  4. Step 4: Simplify right side
    171,072x = 124,645,714,704
  5. Step 5: Solve for x
    x = 124,645,714,704/171,072
  6. Step 6: Final answer
    x = 728,615.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.