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Finding the Third Proportional to 164,626 and 250,491

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Solution

The third proportional to 164,626 and 250,491 is: 381,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,626 : 250,491 = 250,491 : x
  2. Step 2: Convert to fraction form
    164,626/250,491 = 250,491/x
  3. Step 3: Cross multiply
    164,626x = 250,491 × 250,491
  4. Step 4: Simplify right side
    164,626x = 62,745,741,081
  5. Step 5: Solve for x
    x = 62,745,741,081/164,626
  6. Step 6: Final answer
    x = 381,141.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.