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Finding the Third Proportional to 227,719.13 and 334,189.13

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Solution

The third proportional to 227,719.13 and 334,189.13 is: 490,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,719.13 : 334,189.13 = 334,189.13 : x
  2. Step 2: Convert to fraction form
    227,719.13/334,189.13 = 334,189.13/x
  3. Step 3: Cross multiply
    227,719.13x = 334,189.13 × 334,189.13
  4. Step 4: Simplify right side
    227,719.13x = 111,682,371,268.27
  5. Step 5: Solve for x
    x = 111,682,371,268.27/227,719.13
  6. Step 6: Final answer
    x = 490,439.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.