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Finding the Third Proportional to 222,185 and 452,632

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Solution

The third proportional to 222,185 and 452,632 is: 922,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,185 : 452,632 = 452,632 : x
  2. Step 2: Convert to fraction form
    222,185/452,632 = 452,632/x
  3. Step 3: Cross multiply
    222,185x = 452,632 × 452,632
  4. Step 4: Simplify right side
    222,185x = 204,875,727,424
  5. Step 5: Solve for x
    x = 204,875,727,424/222,185
  6. Step 6: Final answer
    x = 922,095.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.