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Finding the Third Proportional to 221,686 and 459,137

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Solution

The third proportional to 221,686 and 459,137 is: 950,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,686 : 459,137 = 459,137 : x
  2. Step 2: Convert to fraction form
    221,686/459,137 = 459,137/x
  3. Step 3: Cross multiply
    221,686x = 459,137 × 459,137
  4. Step 4: Simplify right side
    221,686x = 210,806,784,769
  5. Step 5: Solve for x
    x = 210,806,784,769/221,686
  6. Step 6: Final answer
    x = 950,925.11

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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.