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Finding the Third Proportional to 171,290 and 368,770

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Solution

The third proportional to 171,290 and 368,770 is: 793,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,290 : 368,770 = 368,770 : x
  2. Step 2: Convert to fraction form
    171,290/368,770 = 368,770/x
  3. Step 3: Cross multiply
    171,290x = 368,770 × 368,770
  4. Step 4: Simplify right side
    171,290x = 135,991,312,900
  5. Step 5: Solve for x
    x = 135,991,312,900/171,290
  6. Step 6: Final answer
    x = 793,924.41

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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.