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Finding the Third Proportional to 149,096 and 224,684

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Solution

The third proportional to 149,096 and 224,684 is: 338,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,096 : 224,684 = 224,684 : x
  2. Step 2: Convert to fraction form
    149,096/224,684 = 224,684/x
  3. Step 3: Cross multiply
    149,096x = 224,684 × 224,684
  4. Step 4: Simplify right side
    149,096x = 50,482,899,856
  5. Step 5: Solve for x
    x = 50,482,899,856/149,096
  6. Step 6: Final answer
    x = 338,593.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.