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Finding the Third Proportional to 156,720 and 329,568

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Solution

The third proportional to 156,720 and 329,568 is: 693,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,720 : 329,568 = 329,568 : x
  2. Step 2: Convert to fraction form
    156,720/329,568 = 329,568/x
  3. Step 3: Cross multiply
    156,720x = 329,568 × 329,568
  4. Step 4: Simplify right side
    156,720x = 108,615,066,624
  5. Step 5: Solve for x
    x = 108,615,066,624/156,720
  6. Step 6: Final answer
    x = 693,051.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.