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Finding the Third Proportional to 130,801 and 196,203

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Solution

The third proportional to 130,801 and 196,203 is: 294,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,801 : 196,203 = 196,203 : x
  2. Step 2: Convert to fraction form
    130,801/196,203 = 196,203/x
  3. Step 3: Cross multiply
    130,801x = 196,203 × 196,203
  4. Step 4: Simplify right side
    130,801x = 38,495,617,209
  5. Step 5: Solve for x
    x = 38,495,617,209/130,801
  6. Step 6: Final answer
    x = 294,306.75

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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.