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Finding the Third Proportional to 104,075 and 227,411

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Solution

The third proportional to 104,075 and 227,411 is: 496,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,075 : 227,411 = 227,411 : x
  2. Step 2: Convert to fraction form
    104,075/227,411 = 227,411/x
  3. Step 3: Cross multiply
    104,075x = 227,411 × 227,411
  4. Step 4: Simplify right side
    104,075x = 51,715,762,921
  5. Step 5: Solve for x
    x = 51,715,762,921/104,075
  6. Step 6: Final answer
    x = 496,908.60

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Why These Related Problems?

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