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Finding the Third Proportional to 201,992 and 425,280

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Solution

The third proportional to 201,992 and 425,280 is: 895,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,992 : 425,280 = 425,280 : x
  2. Step 2: Convert to fraction form
    201,992/425,280 = 425,280/x
  3. Step 3: Cross multiply
    201,992x = 425,280 × 425,280
  4. Step 4: Simplify right side
    201,992x = 180,863,078,400
  5. Step 5: Solve for x
    x = 180,863,078,400/201,992
  6. Step 6: Final answer
    x = 895,397.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.