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Finding the Third Proportional to 179,626 and 269,438

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Solution

The third proportional to 179,626 and 269,438 is: 404,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,626 : 269,438 = 269,438 : x
  2. Step 2: Convert to fraction form
    179,626/269,438 = 269,438/x
  3. Step 3: Cross multiply
    179,626x = 269,438 × 269,438
  4. Step 4: Simplify right side
    179,626x = 72,596,835,844
  5. Step 5: Solve for x
    x = 72,596,835,844/179,626
  6. Step 6: Final answer
    x = 404,155.50

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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.