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Finding the Third Proportional to 103,652 and 226,621

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Solution

The third proportional to 103,652 and 226,621 is: 495,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,652 : 226,621 = 226,621 : x
  2. Step 2: Convert to fraction form
    103,652/226,621 = 226,621/x
  3. Step 3: Cross multiply
    103,652x = 226,621 × 226,621
  4. Step 4: Simplify right side
    103,652x = 51,357,077,641
  5. Step 5: Solve for x
    x = 51,357,077,641/103,652
  6. Step 6: Final answer
    x = 495,475.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.