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Finding the Third Proportional to 143,527.75 and 224,012.38

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Solution

The third proportional to 143,527.75 and 224,012.38 is: 349,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,527.75 : 224,012.38 = 224,012.38 : x
  2. Step 2: Convert to fraction form
    143,527.75/224,012.38 = 224,012.38/x
  3. Step 3: Cross multiply
    143,527.75x = 224,012.38 × 224,012.38
  4. Step 4: Simplify right side
    143,527.75x = 50,181,544,153.14
  5. Step 5: Solve for x
    x = 50,181,544,153.14/143,527.75
  6. Step 6: Final answer
    x = 349,629.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.