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Finding the Third Proportional to 201,640 and 297,861

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Solution

The third proportional to 201,640 and 297,861 is: 439,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,640 : 297,861 = 297,861 : x
  2. Step 2: Convert to fraction form
    201,640/297,861 = 297,861/x
  3. Step 3: Cross multiply
    201,640x = 297,861 × 297,861
  4. Step 4: Simplify right side
    201,640x = 88,721,175,321
  5. Step 5: Solve for x
    x = 88,721,175,321/201,640
  6. Step 6: Final answer
    x = 439,997.89

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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.