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Finding the Third Proportional to 194,955 and 285,673

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Solution

The third proportional to 194,955 and 285,673 is: 418,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,955 : 285,673 = 285,673 : x
  2. Step 2: Convert to fraction form
    194,955/285,673 = 285,673/x
  3. Step 3: Cross multiply
    194,955x = 285,673 × 285,673
  4. Step 4: Simplify right side
    194,955x = 81,609,062,929
  5. Step 5: Solve for x
    x = 81,609,062,929/194,955
  6. Step 6: Final answer
    x = 418,604.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.