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Finding the Third Proportional to 221,685.88 and 459,136.75

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Solution

The third proportional to 221,685.88 and 459,136.75 is: 950,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,685.88 : 459,136.75 = 459,136.75 : x
  2. Step 2: Convert to fraction form
    221,685.88/459,136.75 = 459,136.75/x
  3. Step 3: Cross multiply
    221,685.88x = 459,136.75 × 459,136.75
  4. Step 4: Simplify right side
    221,685.88x = 210,806,555,200.56
  5. Step 5: Solve for x
    x = 210,806,555,200.56/221,685.88
  6. Step 6: Final answer
    x = 950,924.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.