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Finding the Third Proportional to 109,075 and 228,032

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Solution

The third proportional to 109,075 and 228,032 is: 476,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,075 : 228,032 = 228,032 : x
  2. Step 2: Convert to fraction form
    109,075/228,032 = 228,032/x
  3. Step 3: Cross multiply
    109,075x = 228,032 × 228,032
  4. Step 4: Simplify right side
    109,075x = 51,998,593,024
  5. Step 5: Solve for x
    x = 51,998,593,024/109,075
  6. Step 6: Final answer
    x = 476,723.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.