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Finding the Third Proportional to 104,288 and 227,701

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Solution

The third proportional to 104,288 and 227,701 is: 497,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,288 : 227,701 = 227,701 : x
  2. Step 2: Convert to fraction form
    104,288/227,701 = 227,701/x
  3. Step 3: Cross multiply
    104,288x = 227,701 × 227,701
  4. Step 4: Simplify right side
    104,288x = 51,847,745,401
  5. Step 5: Solve for x
    x = 51,847,745,401/104,288
  6. Step 6: Final answer
    x = 497,159.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.