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Finding the Third Proportional to 193,756 and 290,826

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Solution

The third proportional to 193,756 and 290,826 is: 436,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,756 : 290,826 = 290,826 : x
  2. Step 2: Convert to fraction form
    193,756/290,826 = 290,826/x
  3. Step 3: Cross multiply
    193,756x = 290,826 × 290,826
  4. Step 4: Simplify right side
    193,756x = 84,579,762,276
  5. Step 5: Solve for x
    x = 84,579,762,276/193,756
  6. Step 6: Final answer
    x = 436,527.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.