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Finding the Third Proportional to 222,193.69 and 492,432.19

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Solution

The third proportional to 222,193.69 and 492,432.19 is: 1,091,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,193.69 : 492,432.19 = 492,432.19 : x
  2. Step 2: Convert to fraction form
    222,193.69/492,432.19 = 492,432.19/x
  3. Step 3: Cross multiply
    222,193.69x = 492,432.19 × 492,432.19
  4. Step 4: Simplify right side
    222,193.69x = 242,489,459,286.04
  5. Step 5: Solve for x
    x = 242,489,459,286.04/222,193.69
  6. Step 6: Final answer
    x = 1,091,342.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.