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Finding the Third Proportional to 109,804 and 232,568

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Solution

The third proportional to 109,804 and 232,568 is: 492,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,804 : 232,568 = 232,568 : x
  2. Step 2: Convert to fraction form
    109,804/232,568 = 232,568/x
  3. Step 3: Cross multiply
    109,804x = 232,568 × 232,568
  4. Step 4: Simplify right side
    109,804x = 54,087,874,624
  5. Step 5: Solve for x
    x = 54,087,874,624/109,804
  6. Step 6: Final answer
    x = 492,585.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.