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Finding the Third Proportional to 222,657.19 and 467,184.38

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Solution

The third proportional to 222,657.19 and 467,184.38 is: 980,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,657.19 : 467,184.38 = 467,184.38 : x
  2. Step 2: Convert to fraction form
    222,657.19/467,184.38 = 467,184.38/x
  3. Step 3: Cross multiply
    222,657.19x = 467,184.38 × 467,184.38
  4. Step 4: Simplify right side
    222,657.19x = 218,261,240,244.14
  5. Step 5: Solve for x
    x = 218,261,240,244.14/222,657.19
  6. Step 6: Final answer
    x = 980,256.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.