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Finding the Third Proportional to 162,568 and 347,680

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Solution

The third proportional to 162,568 and 347,680 is: 743,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,568 : 347,680 = 347,680 : x
  2. Step 2: Convert to fraction form
    162,568/347,680 = 347,680/x
  3. Step 3: Cross multiply
    162,568x = 347,680 × 347,680
  4. Step 4: Simplify right side
    162,568x = 120,881,382,400
  5. Step 5: Solve for x
    x = 120,881,382,400/162,568
  6. Step 6: Final answer
    x = 743,574.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.