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Finding the Third Proportional to 194,857.88 and 418,723.31

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Solution

The third proportional to 194,857.88 and 418,723.31 is: 899,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,857.88 : 418,723.31 = 418,723.31 : x
  2. Step 2: Convert to fraction form
    194,857.88/418,723.31 = 418,723.31/x
  3. Step 3: Cross multiply
    194,857.88x = 418,723.31 × 418,723.31
  4. Step 4: Simplify right side
    194,857.88x = 175,329,212,430.97
  5. Step 5: Solve for x
    x = 175,329,212,430.97/194,857.88
  6. Step 6: Final answer
    x = 899,779.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.