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Finding the Third Proportional to 130,816 and 196,224

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Solution

The third proportional to 130,816 and 196,224 is: 294,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,816 : 196,224 = 196,224 : x
  2. Step 2: Convert to fraction form
    130,816/196,224 = 196,224/x
  3. Step 3: Cross multiply
    130,816x = 196,224 × 196,224
  4. Step 4: Simplify right side
    130,816x = 38,503,858,176
  5. Step 5: Solve for x
    x = 38,503,858,176/130,816
  6. Step 6: Final answer
    x = 294,336

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.