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Finding the Third Proportional to 221,706 and 459,171

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Solution

The third proportional to 221,706 and 459,171 is: 950,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,706 : 459,171 = 459,171 : x
  2. Step 2: Convert to fraction form
    221,706/459,171 = 459,171/x
  3. Step 3: Cross multiply
    221,706x = 459,171 × 459,171
  4. Step 4: Simplify right side
    221,706x = 210,838,007,241
  5. Step 5: Solve for x
    x = 210,838,007,241/221,706
  6. Step 6: Final answer
    x = 950,980.16

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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.