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Finding the Third Proportional to 194,697 and 284,654.25

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Solution

The third proportional to 194,697 and 284,654.25 is: 416,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,697 : 284,654.25 = 284,654.25 : x
  2. Step 2: Convert to fraction form
    194,697/284,654.25 = 284,654.25/x
  3. Step 3: Cross multiply
    194,697x = 284,654.25 × 284,654.25
  4. Step 4: Simplify right side
    194,697x = 81,028,042,043.06
  5. Step 5: Solve for x
    x = 81,028,042,043.06/194,697
  6. Step 6: Final answer
    x = 416,175.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.