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Finding the Third Proportional to 206,416.13 and 290,679.19

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Solution

The third proportional to 206,416.13 and 290,679.19 is: 409,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,416.13 : 290,679.19 = 290,679.19 : x
  2. Step 2: Convert to fraction form
    206,416.13/290,679.19 = 290,679.19/x
  3. Step 3: Cross multiply
    206,416.13x = 290,679.19 × 290,679.19
  4. Step 4: Simplify right side
    206,416.13x = 84,494,390,045.66
  5. Step 5: Solve for x
    x = 84,494,390,045.66/206,416.13
  6. Step 6: Final answer
    x = 409,340.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.