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Finding the Third Proportional to 194,129.35 and 397,667.72

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Solution

The third proportional to 194,129.35 and 397,667.72 is: 814,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,129.35 : 397,667.72 = 397,667.72 : x
  2. Step 2: Convert to fraction form
    194,129.35/397,667.72 = 397,667.72/x
  3. Step 3: Cross multiply
    194,129.35x = 397,667.72 × 397,667.72
  4. Step 4: Simplify right side
    194,129.35x = 158,139,615,700.87
  5. Step 5: Solve for x
    x = 158,139,615,700.87/194,129.35
  6. Step 6: Final answer
    x = 814,609.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.