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Finding the Third Proportional to 183,536 and 280,568

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Solution

The third proportional to 183,536 and 280,568 is: 428,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,536 : 280,568 = 280,568 : x
  2. Step 2: Convert to fraction form
    183,536/280,568 = 280,568/x
  3. Step 3: Cross multiply
    183,536x = 280,568 × 280,568
  4. Step 4: Simplify right side
    183,536x = 78,718,402,624
  5. Step 5: Solve for x
    x = 78,718,402,624/183,536
  6. Step 6: Final answer
    x = 428,898.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.