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Finding the Third Proportional to 131,128.50 and 273,327

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Solution

The third proportional to 131,128.50 and 273,327 is: 569,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,128.50 : 273,327 = 273,327 : x
  2. Step 2: Convert to fraction form
    131,128.50/273,327 = 273,327/x
  3. Step 3: Cross multiply
    131,128.50x = 273,327 × 273,327
  4. Step 4: Simplify right side
    131,128.50x = 74,707,648,929
  5. Step 5: Solve for x
    x = 74,707,648,929/131,128.50
  6. Step 6: Final answer
    x = 569,728.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.