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Finding the Third Proportional to 104,239.50 and 227,595

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Solution

The third proportional to 104,239.50 and 227,595 is: 496,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,239.50 : 227,595 = 227,595 : x
  2. Step 2: Convert to fraction form
    104,239.50/227,595 = 227,595/x
  3. Step 3: Cross multiply
    104,239.50x = 227,595 × 227,595
  4. Step 4: Simplify right side
    104,239.50x = 51,799,484,025
  5. Step 5: Solve for x
    x = 51,799,484,025/104,239.50
  6. Step 6: Final answer
    x = 496,927.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.