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Finding the Third Proportional to 130,949 and 196,207

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Solution

The third proportional to 130,949 and 196,207 is: 293,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,949 : 196,207 = 196,207 : x
  2. Step 2: Convert to fraction form
    130,949/196,207 = 196,207/x
  3. Step 3: Cross multiply
    130,949x = 196,207 × 196,207
  4. Step 4: Simplify right side
    130,949x = 38,497,186,849
  5. Step 5: Solve for x
    x = 38,497,186,849/130,949
  6. Step 6: Final answer
    x = 293,986.11

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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.