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Finding the Third Proportional to 130,832.72 and 196,249.08

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Solution

The third proportional to 130,832.72 and 196,249.08 is: 294,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,832.72 : 196,249.08 = 196,249.08 : x
  2. Step 2: Convert to fraction form
    130,832.72/196,249.08 = 196,249.08/x
  3. Step 3: Cross multiply
    130,832.72x = 196,249.08 × 196,249.08
  4. Step 4: Simplify right side
    130,832.72x = 38,513,700,664.91
  5. Step 5: Solve for x
    x = 38,513,700,664.91/130,832.72
  6. Step 6: Final answer
    x = 294,373.62

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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.