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Finding the Third Proportional to 164,186 and 354,568

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Solution

The third proportional to 164,186 and 354,568 is: 765,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,186 : 354,568 = 354,568 : x
  2. Step 2: Convert to fraction form
    164,186/354,568 = 354,568/x
  3. Step 3: Cross multiply
    164,186x = 354,568 × 354,568
  4. Step 4: Simplify right side
    164,186x = 125,718,466,624
  5. Step 5: Solve for x
    x = 125,718,466,624/164,186
  6. Step 6: Final answer
    x = 765,707.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.