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Finding the Third Proportional to 173,803.50 and 276,567

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Solution

The third proportional to 173,803.50 and 276,567 is: 440,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,803.50 : 276,567 = 276,567 : x
  2. Step 2: Convert to fraction form
    173,803.50/276,567 = 276,567/x
  3. Step 3: Cross multiply
    173,803.50x = 276,567 × 276,567
  4. Step 4: Simplify right side
    173,803.50x = 76,489,305,489
  5. Step 5: Solve for x
    x = 76,489,305,489/173,803.50
  6. Step 6: Final answer
    x = 440,090.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.