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Finding the Third Proportional to 196,128 and 293,928.75

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Solution

The third proportional to 196,128 and 293,928.75 is: 440,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,128 : 293,928.75 = 293,928.75 : x
  2. Step 2: Convert to fraction form
    196,128/293,928.75 = 293,928.75/x
  3. Step 3: Cross multiply
    196,128x = 293,928.75 × 293,928.75
  4. Step 4: Simplify right side
    196,128x = 86,394,110,076.56
  5. Step 5: Solve for x
    x = 86,394,110,076.56/196,128
  6. Step 6: Final answer
    x = 440,498.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.