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Finding the Third Proportional to 194,695.31 and 284,387.63

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Solution

The third proportional to 194,695.31 and 284,387.63 is: 415,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,695.31 : 284,387.63 = 284,387.63 : x
  2. Step 2: Convert to fraction form
    194,695.31/284,387.63 = 284,387.63/x
  3. Step 3: Cross multiply
    194,695.31x = 284,387.63 × 284,387.63
  4. Step 4: Simplify right side
    194,695.31x = 80,876,321,253.14
  5. Step 5: Solve for x
    x = 80,876,321,253.14/194,695.31
  6. Step 6: Final answer
    x = 415,399.43

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Why These Related Problems?

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