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Finding the Third Proportional to 192,714 and 423,871.50

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Solution

The third proportional to 192,714 and 423,871.50 is: 932,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,714 : 423,871.50 = 423,871.50 : x
  2. Step 2: Convert to fraction form
    192,714/423,871.50 = 423,871.50/x
  3. Step 3: Cross multiply
    192,714x = 423,871.50 × 423,871.50
  4. Step 4: Simplify right side
    192,714x = 179,667,048,512.25
  5. Step 5: Solve for x
    x = 179,667,048,512.25/192,714
  6. Step 6: Final answer
    x = 932,298.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.