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Finding the Third Proportional to 142,190.44 and 311,084.44

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Solution

The third proportional to 142,190.44 and 311,084.44 is: 680,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,190.44 : 311,084.44 = 311,084.44 : x
  2. Step 2: Convert to fraction form
    142,190.44/311,084.44 = 311,084.44/x
  3. Step 3: Cross multiply
    142,190.44x = 311,084.44 × 311,084.44
  4. Step 4: Simplify right side
    142,190.44x = 96,773,527,254.69
  5. Step 5: Solve for x
    x = 96,773,527,254.69/142,190.44
  6. Step 6: Final answer
    x = 680,590.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.