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Finding the Third Proportional to 175,793 and 378,964

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Solution

The third proportional to 175,793 and 378,964 is: 816,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,793 : 378,964 = 378,964 : x
  2. Step 2: Convert to fraction form
    175,793/378,964 = 378,964/x
  3. Step 3: Cross multiply
    175,793x = 378,964 × 378,964
  4. Step 4: Simplify right side
    175,793x = 143,613,713,296
  5. Step 5: Solve for x
    x = 143,613,713,296/175,793
  6. Step 6: Final answer
    x = 816,947.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.