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Finding the Third Proportional to 104,280.50 and 227,687

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Solution

The third proportional to 104,280.50 and 227,687 is: 497,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,280.50 : 227,687 = 227,687 : x
  2. Step 2: Convert to fraction form
    104,280.50/227,687 = 227,687/x
  3. Step 3: Cross multiply
    104,280.50x = 227,687 × 227,687
  4. Step 4: Simplify right side
    104,280.50x = 51,841,369,969
  5. Step 5: Solve for x
    x = 51,841,369,969/104,280.50
  6. Step 6: Final answer
    x = 497,133.88

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