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Finding the Third Proportional to 161,120 and 345,568

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Solution

The third proportional to 161,120 and 345,568 is: 741,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,120 : 345,568 = 345,568 : x
  2. Step 2: Convert to fraction form
    161,120/345,568 = 345,568/x
  3. Step 3: Cross multiply
    161,120x = 345,568 × 345,568
  4. Step 4: Simplify right side
    161,120x = 119,417,242,624
  5. Step 5: Solve for x
    x = 119,417,242,624/161,120
  6. Step 6: Final answer
    x = 741,169.58

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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.