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Finding the Third Proportional to 149,238 and 224,532

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Solution

The third proportional to 149,238 and 224,532 is: 337,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,238 : 224,532 = 224,532 : x
  2. Step 2: Convert to fraction form
    149,238/224,532 = 224,532/x
  3. Step 3: Cross multiply
    149,238x = 224,532 × 224,532
  4. Step 4: Simplify right side
    149,238x = 50,414,619,024
  5. Step 5: Solve for x
    x = 50,414,619,024/149,238
  6. Step 6: Final answer
    x = 337,813.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.