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Finding the Third Proportional to 171,214 and 368,780

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Solution

The third proportional to 171,214 and 368,780 is: 794,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,214 : 368,780 = 368,780 : x
  2. Step 2: Convert to fraction form
    171,214/368,780 = 368,780/x
  3. Step 3: Cross multiply
    171,214x = 368,780 × 368,780
  4. Step 4: Simplify right side
    171,214x = 135,998,688,400
  5. Step 5: Solve for x
    x = 135,998,688,400/171,214
  6. Step 6: Final answer
    x = 794,319.91

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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.