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Finding the Third Proportional to 133,849 and 178,441.50

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Solution

The third proportional to 133,849 and 178,441.50 is: 237,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,849 : 178,441.50 = 178,441.50 : x
  2. Step 2: Convert to fraction form
    133,849/178,441.50 = 178,441.50/x
  3. Step 3: Cross multiply
    133,849x = 178,441.50 × 178,441.50
  4. Step 4: Simplify right side
    133,849x = 31,841,368,922.25
  5. Step 5: Solve for x
    x = 31,841,368,922.25/133,849
  6. Step 6: Final answer
    x = 237,890.23

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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.