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Finding the Third Proportional to 128,702.25 and 196,884

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Solution

The third proportional to 128,702.25 and 196,884 is: 301,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,702.25 : 196,884 = 196,884 : x
  2. Step 2: Convert to fraction form
    128,702.25/196,884 = 196,884/x
  3. Step 3: Cross multiply
    128,702.25x = 196,884 × 196,884
  4. Step 4: Simplify right side
    128,702.25x = 38,763,309,456
  5. Step 5: Solve for x
    x = 38,763,309,456/128,702.25
  6. Step 6: Final answer
    x = 301,185.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.