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Finding the Third Proportional to 130,384 and 196,824

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Solution

The third proportional to 130,384 and 196,824 is: 297,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,384 : 196,824 = 196,824 : x
  2. Step 2: Convert to fraction form
    130,384/196,824 = 196,824/x
  3. Step 3: Cross multiply
    130,384x = 196,824 × 196,824
  4. Step 4: Simplify right side
    130,384x = 38,739,686,976
  5. Step 5: Solve for x
    x = 38,739,686,976/130,384
  6. Step 6: Final answer
    x = 297,119.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.