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Finding the Third Proportional to 174,838.50 and 383,940

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Solution

The third proportional to 174,838.50 and 383,940 is: 843,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,838.50 : 383,940 = 383,940 : x
  2. Step 2: Convert to fraction form
    174,838.50/383,940 = 383,940/x
  3. Step 3: Cross multiply
    174,838.50x = 383,940 × 383,940
  4. Step 4: Simplify right side
    174,838.50x = 147,409,923,600
  5. Step 5: Solve for x
    x = 147,409,923,600/174,838.50
  6. Step 6: Final answer
    x = 843,120.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.