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Finding the Third Proportional to 201,673 and 440,281

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Solution

The third proportional to 201,673 and 440,281 is: 961,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,673 : 440,281 = 440,281 : x
  2. Step 2: Convert to fraction form
    201,673/440,281 = 440,281/x
  3. Step 3: Cross multiply
    201,673x = 440,281 × 440,281
  4. Step 4: Simplify right side
    201,673x = 193,847,358,961
  5. Step 5: Solve for x
    x = 193,847,358,961/201,673
  6. Step 6: Final answer
    x = 961,196.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.