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Finding the Third Proportional to 211,420.13 and 289,914.19

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Solution

The third proportional to 211,420.13 and 289,914.19 is: 397,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,420.13 : 289,914.19 = 289,914.19 : x
  2. Step 2: Convert to fraction form
    211,420.13/289,914.19 = 289,914.19/x
  3. Step 3: Cross multiply
    211,420.13x = 289,914.19 × 289,914.19
  4. Step 4: Simplify right side
    211,420.13x = 84,050,236,113.79
  5. Step 5: Solve for x
    x = 84,050,236,113.79/211,420.13
  6. Step 6: Final answer
    x = 397,550.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.