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Finding the Third Proportional to 103,573 and 226,916

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Solution

The third proportional to 103,573 and 226,916 is: 497,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,573 : 226,916 = 226,916 : x
  2. Step 2: Convert to fraction form
    103,573/226,916 = 226,916/x
  3. Step 3: Cross multiply
    103,573x = 226,916 × 226,916
  4. Step 4: Simplify right side
    103,573x = 51,490,871,056
  5. Step 5: Solve for x
    x = 51,490,871,056/103,573
  6. Step 6: Final answer
    x = 497,145.69

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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.