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Finding the Third Proportional to 175,942.50 and 376,797

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Solution

The third proportional to 175,942.50 and 376,797 is: 806,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,942.50 : 376,797 = 376,797 : x
  2. Step 2: Convert to fraction form
    175,942.50/376,797 = 376,797/x
  3. Step 3: Cross multiply
    175,942.50x = 376,797 × 376,797
  4. Step 4: Simplify right side
    175,942.50x = 141,975,979,209
  5. Step 5: Solve for x
    x = 141,975,979,209/175,942.50
  6. Step 6: Final answer
    x = 806,945.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.