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Finding the Third Proportional to 171,315 and 394,834.50

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Solution

The third proportional to 171,315 and 394,834.50 is: 909,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,315 : 394,834.50 = 394,834.50 : x
  2. Step 2: Convert to fraction form
    171,315/394,834.50 = 394,834.50/x
  3. Step 3: Cross multiply
    171,315x = 394,834.50 × 394,834.50
  4. Step 4: Simplify right side
    171,315x = 155,894,282,390.25
  5. Step 5: Solve for x
    x = 155,894,282,390.25/171,315
  6. Step 6: Final answer
    x = 909,986.18

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.