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Finding the Third Proportional to 194,213.25 and 423,732

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Solution

The third proportional to 194,213.25 and 423,732 is: 924,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,213.25 : 423,732 = 423,732 : x
  2. Step 2: Convert to fraction form
    194,213.25/423,732 = 423,732/x
  3. Step 3: Cross multiply
    194,213.25x = 423,732 × 423,732
  4. Step 4: Simplify right side
    194,213.25x = 179,548,807,824
  5. Step 5: Solve for x
    x = 179,548,807,824/194,213.25
  6. Step 6: Final answer
    x = 924,493.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.