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Finding the Third Proportional to 132,976.50 and 284,632

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Solution

The third proportional to 132,976.50 and 284,632 is: 609,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,976.50 : 284,632 = 284,632 : x
  2. Step 2: Convert to fraction form
    132,976.50/284,632 = 284,632/x
  3. Step 3: Cross multiply
    132,976.50x = 284,632 × 284,632
  4. Step 4: Simplify right side
    132,976.50x = 81,015,375,424
  5. Step 5: Solve for x
    x = 81,015,375,424/132,976.50
  6. Step 6: Final answer
    x = 609,245.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.