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Finding the Third Proportional to 103,673 and 227,060

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Solution

The third proportional to 103,673 and 227,060 is: 497,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673 : 227,060 = 227,060 : x
  2. Step 2: Convert to fraction form
    103,673/227,060 = 227,060/x
  3. Step 3: Cross multiply
    103,673x = 227,060 × 227,060
  4. Step 4: Simplify right side
    103,673x = 51,556,243,600
  5. Step 5: Solve for x
    x = 51,556,243,600/103,673
  6. Step 6: Final answer
    x = 497,296.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.