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Finding the Third Proportional to 175,211.50 and 274,485

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Solution

The third proportional to 175,211.50 and 274,485 is: 430,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,211.50 : 274,485 = 274,485 : x
  2. Step 2: Convert to fraction form
    175,211.50/274,485 = 274,485/x
  3. Step 3: Cross multiply
    175,211.50x = 274,485 × 274,485
  4. Step 4: Simplify right side
    175,211.50x = 75,342,015,225
  5. Step 5: Solve for x
    x = 75,342,015,225/175,211.50
  6. Step 6: Final answer
    x = 430,006.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.