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Finding the Third Proportional to 201,652 and 297,866

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Solution

The third proportional to 201,652 and 297,866 is: 439,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,652 : 297,866 = 297,866 : x
  2. Step 2: Convert to fraction form
    201,652/297,866 = 297,866/x
  3. Step 3: Cross multiply
    201,652x = 297,866 × 297,866
  4. Step 4: Simplify right side
    201,652x = 88,724,153,956
  5. Step 5: Solve for x
    x = 88,724,153,956/201,652
  6. Step 6: Final answer
    x = 439,986.48

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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.