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Finding the Third Proportional to 144,720 and 222,576.75

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Solution

The third proportional to 144,720 and 222,576.75 is: 342,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,720 : 222,576.75 = 222,576.75 : x
  2. Step 2: Convert to fraction form
    144,720/222,576.75 = 222,576.75/x
  3. Step 3: Cross multiply
    144,720x = 222,576.75 × 222,576.75
  4. Step 4: Simplify right side
    144,720x = 49,540,409,640.56
  5. Step 5: Solve for x
    x = 49,540,409,640.56/144,720
  6. Step 6: Final answer
    x = 342,319.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.