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Finding the Third Proportional to 133,777 and 178,339

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Solution

The third proportional to 133,777 and 178,339 is: 237,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,777 : 178,339 = 178,339 : x
  2. Step 2: Convert to fraction form
    133,777/178,339 = 178,339/x
  3. Step 3: Cross multiply
    133,777x = 178,339 × 178,339
  4. Step 4: Simplify right side
    133,777x = 31,804,798,921
  5. Step 5: Solve for x
    x = 31,804,798,921/133,777
  6. Step 6: Final answer
    x = 237,744.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.