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Finding the Third Proportional to 150,325 and 211,453

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Solution

The third proportional to 150,325 and 211,453 is: 297,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,325 : 211,453 = 211,453 : x
  2. Step 2: Convert to fraction form
    150,325/211,453 = 211,453/x
  3. Step 3: Cross multiply
    150,325x = 211,453 × 211,453
  4. Step 4: Simplify right side
    150,325x = 44,712,371,209
  5. Step 5: Solve for x
    x = 44,712,371,209/150,325
  6. Step 6: Final answer
    x = 297,438.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.