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Finding the Third Proportional to 183,487.50 and 274,377

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Solution

The third proportional to 183,487.50 and 274,377 is: 410,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,487.50 : 274,377 = 274,377 : x
  2. Step 2: Convert to fraction form
    183,487.50/274,377 = 274,377/x
  3. Step 3: Cross multiply
    183,487.50x = 274,377 × 274,377
  4. Step 4: Simplify right side
    183,487.50x = 75,282,738,129
  5. Step 5: Solve for x
    x = 75,282,738,129/183,487.50
  6. Step 6: Final answer
    x = 410,288.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.