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Finding the Third Proportional to 149,492 and 224,868

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Solution

The third proportional to 149,492 and 224,868 is: 338,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,492 : 224,868 = 224,868 : x
  2. Step 2: Convert to fraction form
    149,492/224,868 = 224,868/x
  3. Step 3: Cross multiply
    149,492x = 224,868 × 224,868
  4. Step 4: Simplify right side
    149,492x = 50,565,617,424
  5. Step 5: Solve for x
    x = 50,565,617,424/149,492
  6. Step 6: Final answer
    x = 338,249.65

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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.