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Finding the Third Proportional to 227,782.13 and 339,789.94

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Solution

The third proportional to 227,782.13 and 339,789.94 is: 506,875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,782.13 : 339,789.94 = 339,789.94 : x
  2. Step 2: Convert to fraction form
    227,782.13/339,789.94 = 339,789.94/x
  3. Step 3: Cross multiply
    227,782.13x = 339,789.94 × 339,789.94
  4. Step 4: Simplify right side
    227,782.13x = 115,457,201,626.25
  5. Step 5: Solve for x
    x = 115,457,201,626.25/227,782.13
  6. Step 6: Final answer
    x = 506,875.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.