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Finding the Third Proportional to 171,346.50 and 368,949

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Solution

The third proportional to 171,346.50 and 368,949 is: 794,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,346.50 : 368,949 = 368,949 : x
  2. Step 2: Convert to fraction form
    171,346.50/368,949 = 368,949/x
  3. Step 3: Cross multiply
    171,346.50x = 368,949 × 368,949
  4. Step 4: Simplify right side
    171,346.50x = 136,123,364,601
  5. Step 5: Solve for x
    x = 136,123,364,601/171,346.50
  6. Step 6: Final answer
    x = 794,433.30

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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.