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Finding the Third Proportional to 171,217 and 368,786

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Solution

The third proportional to 171,217 and 368,786 is: 794,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,217 : 368,786 = 368,786 : x
  2. Step 2: Convert to fraction form
    171,217/368,786 = 368,786/x
  3. Step 3: Cross multiply
    171,217x = 368,786 × 368,786
  4. Step 4: Simplify right side
    171,217x = 136,003,113,796
  5. Step 5: Solve for x
    x = 136,003,113,796/171,217
  6. Step 6: Final answer
    x = 794,331.84

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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.