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Finding the Third Proportional to 222,846.19 and 464,160.38

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Solution

The third proportional to 222,846.19 and 464,160.38 is: 966,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,846.19 : 464,160.38 = 464,160.38 : x
  2. Step 2: Convert to fraction form
    222,846.19/464,160.38 = 464,160.38/x
  3. Step 3: Cross multiply
    222,846.19x = 464,160.38 × 464,160.38
  4. Step 4: Simplify right side
    222,846.19x = 215,444,853,720.14
  5. Step 5: Solve for x
    x = 215,444,853,720.14/222,846.19
  6. Step 6: Final answer
    x = 966,787.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.