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Finding the Third Proportional to 206,412.19 and 341,619.19

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Solution

The third proportional to 206,412.19 and 341,619.19 is: 565,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.19 : 341,619.19 = 341,619.19 : x
  2. Step 2: Convert to fraction form
    206,412.19/341,619.19 = 341,619.19/x
  3. Step 3: Cross multiply
    206,412.19x = 341,619.19 × 341,619.19
  4. Step 4: Simplify right side
    206,412.19x = 116,703,669,268.16
  5. Step 5: Solve for x
    x = 116,703,669,268.16/206,412.19
  6. Step 6: Final answer
    x = 565,391.37

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.