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Finding the Third Proportional to 174,517.50 and 376,885.50

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Solution

The third proportional to 174,517.50 and 376,885.50 is: 813,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,517.50 : 376,885.50 = 376,885.50 : x
  2. Step 2: Convert to fraction form
    174,517.50/376,885.50 = 376,885.50/x
  3. Step 3: Cross multiply
    174,517.50x = 376,885.50 × 376,885.50
  4. Step 4: Simplify right side
    174,517.50x = 142,042,680,110.25
  5. Step 5: Solve for x
    x = 142,042,680,110.25/174,517.50
  6. Step 6: Final answer
    x = 813,916.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.