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Finding the Third Proportional to 201,802 and 442,966

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Solution

The third proportional to 201,802 and 442,966 is: 972,333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,802 : 442,966 = 442,966 : x
  2. Step 2: Convert to fraction form
    201,802/442,966 = 442,966/x
  3. Step 3: Cross multiply
    201,802x = 442,966 × 442,966
  4. Step 4: Simplify right side
    201,802x = 196,218,877,156
  5. Step 5: Solve for x
    x = 196,218,877,156/201,802
  6. Step 6: Final answer
    x = 972,333.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.