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Finding the Third Proportional to 171,288 and 368,824.50

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Solution

The third proportional to 171,288 and 368,824.50 is: 794,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,288 : 368,824.50 = 368,824.50 : x
  2. Step 2: Convert to fraction form
    171,288/368,824.50 = 368,824.50/x
  3. Step 3: Cross multiply
    171,288x = 368,824.50 × 368,824.50
  4. Step 4: Simplify right side
    171,288x = 136,031,511,800.25
  5. Step 5: Solve for x
    x = 136,031,511,800.25/171,288
  6. Step 6: Final answer
    x = 794,168.37

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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.