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Finding the Third Proportional to 273,435 and 365,847.50

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Solution

The third proportional to 273,435 and 365,847.50 is: 489,492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,435 : 365,847.50 = 365,847.50 : x
  2. Step 2: Convert to fraction form
    273,435/365,847.50 = 365,847.50/x
  3. Step 3: Cross multiply
    273,435x = 365,847.50 × 365,847.50
  4. Step 4: Simplify right side
    273,435x = 133,844,393,256.25
  5. Step 5: Solve for x
    x = 133,844,393,256.25/273,435
  6. Step 6: Final answer
    x = 489,492.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.