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Finding the Third Proportional to 150,288 and 234,408

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Solution

The third proportional to 150,288 and 234,408 is: 365,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,288 : 234,408 = 234,408 : x
  2. Step 2: Convert to fraction form
    150,288/234,408 = 234,408/x
  3. Step 3: Cross multiply
    150,288x = 234,408 × 234,408
  4. Step 4: Simplify right side
    150,288x = 54,947,110,464
  5. Step 5: Solve for x
    x = 54,947,110,464/150,288
  6. Step 6: Final answer
    x = 365,612.09

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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.