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Finding the Third Proportional to 201,638 and 297,858

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Solution

The third proportional to 201,638 and 297,858 is: 439,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638 : 297,858 = 297,858 : x
  2. Step 2: Convert to fraction form
    201,638/297,858 = 297,858/x
  3. Step 3: Cross multiply
    201,638x = 297,858 × 297,858
  4. Step 4: Simplify right side
    201,638x = 88,719,388,164
  5. Step 5: Solve for x
    x = 88,719,388,164/201,638
  6. Step 6: Final answer
    x = 439,993.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.