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Finding the Third Proportional to 194,734.13 and 462,231.56

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Solution

The third proportional to 194,734.13 and 462,231.56 is: 1,097,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,734.13 : 462,231.56 = 462,231.56 : x
  2. Step 2: Convert to fraction form
    194,734.13/462,231.56 = 462,231.56/x
  3. Step 3: Cross multiply
    194,734.13x = 462,231.56 × 462,231.56
  4. Step 4: Simplify right side
    194,734.13x = 213,658,017,371.19
  5. Step 5: Solve for x
    x = 213,658,017,371.19/194,734.13
  6. Step 6: Final answer
    x = 1,097,178.10

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.