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Finding the Third Proportional to 201,156 and 441,000

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Solution

The third proportional to 201,156 and 441,000 is: 966,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,156 : 441,000 = 441,000 : x
  2. Step 2: Convert to fraction form
    201,156/441,000 = 441,000/x
  3. Step 3: Cross multiply
    201,156x = 441,000 × 441,000
  4. Step 4: Simplify right side
    201,156x = 194,481,000,000
  5. Step 5: Solve for x
    x = 194,481,000,000/201,156
  6. Step 6: Final answer
    x = 966,816.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.