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Finding the Third Proportional to 222,475.36 and 460,722.30

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Solution

The third proportional to 222,475.36 and 460,722.30 is: 954,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,475.36 : 460,722.30 = 460,722.30 : x
  2. Step 2: Convert to fraction form
    222,475.36/460,722.30 = 460,722.30/x
  3. Step 3: Cross multiply
    222,475.36x = 460,722.30 × 460,722.30
  4. Step 4: Simplify right side
    222,475.36x = 212,265,042,036.56
  5. Step 5: Solve for x
    x = 212,265,042,036.56/222,475.36
  6. Step 6: Final answer
    x = 954,105.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.