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Finding the Third Proportional to 131,369 and 196,783

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Solution

The third proportional to 131,369 and 196,783 is: 294,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,369 : 196,783 = 196,783 : x
  2. Step 2: Convert to fraction form
    131,369/196,783 = 196,783/x
  3. Step 3: Cross multiply
    131,369x = 196,783 × 196,783
  4. Step 4: Simplify right side
    131,369x = 38,723,549,089
  5. Step 5: Solve for x
    x = 38,723,549,089/131,369
  6. Step 6: Final answer
    x = 294,769.31

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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.