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Finding the Third Proportional to 157,996.69 and 223,560.56

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Solution

The third proportional to 157,996.69 and 223,560.56 is: 316,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,996.69 : 223,560.56 = 223,560.56 : x
  2. Step 2: Convert to fraction form
    157,996.69/223,560.56 = 223,560.56/x
  3. Step 3: Cross multiply
    157,996.69x = 223,560.56 × 223,560.56
  4. Step 4: Simplify right side
    157,996.69x = 49,979,325,105.32
  5. Step 5: Solve for x
    x = 49,979,325,105.32/157,996.69
  6. Step 6: Final answer
    x = 316,331.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.