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Finding the Third Proportional to 225,586.50 and 317,394

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Solution

The third proportional to 225,586.50 and 317,394 is: 446,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,586.50 : 317,394 = 317,394 : x
  2. Step 2: Convert to fraction form
    225,586.50/317,394 = 317,394/x
  3. Step 3: Cross multiply
    225,586.50x = 317,394 × 317,394
  4. Step 4: Simplify right side
    225,586.50x = 100,738,951,236
  5. Step 5: Solve for x
    x = 100,738,951,236/225,586.50
  6. Step 6: Final answer
    x = 446,564.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.