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Finding the Third Proportional to 220,249.13 and 459,634.50

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Solution

The third proportional to 220,249.13 and 459,634.50 is: 959,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,249.13 : 459,634.50 = 459,634.50 : x
  2. Step 2: Convert to fraction form
    220,249.13/459,634.50 = 459,634.50/x
  3. Step 3: Cross multiply
    220,249.13x = 459,634.50 × 459,634.50
  4. Step 4: Simplify right side
    220,249.13x = 211,263,873,590.25
  5. Step 5: Solve for x
    x = 211,263,873,590.25/220,249.13
  6. Step 6: Final answer
    x = 959,204.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.