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Finding the Third Proportional to 112,947 and 245,568

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Solution

The third proportional to 112,947 and 245,568 is: 533,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,947 : 245,568 = 245,568 : x
  2. Step 2: Convert to fraction form
    112,947/245,568 = 245,568/x
  3. Step 3: Cross multiply
    112,947x = 245,568 × 245,568
  4. Step 4: Simplify right side
    112,947x = 60,303,642,624
  5. Step 5: Solve for x
    x = 60,303,642,624/112,947
  6. Step 6: Final answer
    x = 533,910.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.