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Finding the Third Proportional to 222,157.69 and 317,464.31

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Solution

The third proportional to 222,157.69 and 317,464.31 is: 453,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,157.69 : 317,464.31 = 317,464.31 : x
  2. Step 2: Convert to fraction form
    222,157.69/317,464.31 = 317,464.31/x
  3. Step 3: Cross multiply
    222,157.69x = 317,464.31 × 317,464.31
  4. Step 4: Simplify right side
    222,157.69x = 100,783,589,711.10
  5. Step 5: Solve for x
    x = 100,783,589,711.10/222,157.69
  6. Step 6: Final answer
    x = 453,657.90

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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.