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Finding the Third Proportional to 133,402 and 203,491

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Solution

The third proportional to 133,402 and 203,491 is: 310,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,402 : 203,491 = 203,491 : x
  2. Step 2: Convert to fraction form
    133,402/203,491 = 203,491/x
  3. Step 3: Cross multiply
    133,402x = 203,491 × 203,491
  4. Step 4: Simplify right side
    133,402x = 41,408,587,081
  5. Step 5: Solve for x
    x = 41,408,587,081/133,402
  6. Step 6: Final answer
    x = 310,404.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.