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Finding the Third Proportional to 156,568 and 223,822

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Solution

The third proportional to 156,568 and 223,822 is: 319,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,568 : 223,822 = 223,822 : x
  2. Step 2: Convert to fraction form
    156,568/223,822 = 223,822/x
  3. Step 3: Cross multiply
    156,568x = 223,822 × 223,822
  4. Step 4: Simplify right side
    156,568x = 50,096,287,684
  5. Step 5: Solve for x
    x = 50,096,287,684/156,568
  6. Step 6: Final answer
    x = 319,965.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.