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Finding the Third Proportional to 164,330 and 353,568

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Solution

The third proportional to 164,330 and 353,568 is: 760,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,330 : 353,568 = 353,568 : x
  2. Step 2: Convert to fraction form
    164,330/353,568 = 353,568/x
  3. Step 3: Cross multiply
    164,330x = 353,568 × 353,568
  4. Step 4: Simplify right side
    164,330x = 125,010,330,624
  5. Step 5: Solve for x
    x = 125,010,330,624/164,330
  6. Step 6: Final answer
    x = 760,727.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.