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Finding the Third Proportional to 133,974.50 and 213,262

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Solution

The third proportional to 133,974.50 and 213,262 is: 339,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,974.50 : 213,262 = 213,262 : x
  2. Step 2: Convert to fraction form
    133,974.50/213,262 = 213,262/x
  3. Step 3: Cross multiply
    133,974.50x = 213,262 × 213,262
  4. Step 4: Simplify right side
    133,974.50x = 45,480,680,644
  5. Step 5: Solve for x
    x = 45,480,680,644/133,974.50
  6. Step 6: Final answer
    x = 339,472.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.