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Finding the Third Proportional to 201,482 and 441,172

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Solution

The third proportional to 201,482 and 441,172 is: 966,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,482 : 441,172 = 441,172 : x
  2. Step 2: Convert to fraction form
    201,482/441,172 = 441,172/x
  3. Step 3: Cross multiply
    201,482x = 441,172 × 441,172
  4. Step 4: Simplify right side
    201,482x = 194,632,733,584
  5. Step 5: Solve for x
    x = 194,632,733,584/201,482
  6. Step 6: Final answer
    x = 966,005.57

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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.