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Finding the Third Proportional to 222,896.81 and 434,630.81

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Solution

The third proportional to 222,896.81 and 434,630.81 is: 847,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,896.81 : 434,630.81 = 434,630.81 : x
  2. Step 2: Convert to fraction form
    222,896.81/434,630.81 = 434,630.81/x
  3. Step 3: Cross multiply
    222,896.81x = 434,630.81 × 434,630.81
  4. Step 4: Simplify right side
    222,896.81x = 188,903,943,174.41
  5. Step 5: Solve for x
    x = 188,903,943,174.41/222,896.81
  6. Step 6: Final answer
    x = 847,495.04

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.