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Finding the Third Proportional to 179,624 and 269,435

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Solution

The third proportional to 179,624 and 269,435 is: 404,151.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,624 : 269,435 = 269,435 : x
  2. Step 2: Convert to fraction form
    179,624/269,435 = 269,435/x
  3. Step 3: Cross multiply
    179,624x = 269,435 × 269,435
  4. Step 4: Simplify right side
    179,624x = 72,595,219,225
  5. Step 5: Solve for x
    x = 72,595,219,225/179,624
  6. Step 6: Final answer
    x = 404,151.00

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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.