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Finding the Third Proportional to 222,750 and 321,835

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Solution

The third proportional to 222,750 and 321,835 is: 464,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,750 : 321,835 = 321,835 : x
  2. Step 2: Convert to fraction form
    222,750/321,835 = 321,835/x
  3. Step 3: Cross multiply
    222,750x = 321,835 × 321,835
  4. Step 4: Simplify right side
    222,750x = 103,577,767,225
  5. Step 5: Solve for x
    x = 103,577,767,225/222,750
  6. Step 6: Final answer
    x = 464,995.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.