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Finding the Third Proportional to 130,191 and 196,683

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Solution

The third proportional to 130,191 and 196,683 is: 297,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,191 : 196,683 = 196,683 : x
  2. Step 2: Convert to fraction form
    130,191/196,683 = 196,683/x
  3. Step 3: Cross multiply
    130,191x = 196,683 × 196,683
  4. Step 4: Simplify right side
    130,191x = 38,684,202,489
  5. Step 5: Solve for x
    x = 38,684,202,489/130,191
  6. Step 6: Final answer
    x = 297,134.23

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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.