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Finding the Third Proportional to 156,953 and 343,568

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Solution

The third proportional to 156,953 and 343,568 is: 752,065.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,953 : 343,568 = 343,568 : x
  2. Step 2: Convert to fraction form
    156,953/343,568 = 343,568/x
  3. Step 3: Cross multiply
    156,953x = 343,568 × 343,568
  4. Step 4: Simplify right side
    156,953x = 118,038,970,624
  5. Step 5: Solve for x
    x = 118,038,970,624/156,953
  6. Step 6: Final answer
    x = 752,065.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.