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Finding the Third Proportional to 130,197 and 196,692

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Solution

The third proportional to 130,197 and 196,692 is: 297,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,197 : 196,692 = 196,692 : x
  2. Step 2: Convert to fraction form
    130,197/196,692 = 196,692/x
  3. Step 3: Cross multiply
    130,197x = 196,692 × 196,692
  4. Step 4: Simplify right side
    130,197x = 38,687,742,864
  5. Step 5: Solve for x
    x = 38,687,742,864/130,197
  6. Step 6: Final answer
    x = 297,147.73

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Why These Related Problems?

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