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Finding the Third Proportional to 104,964 and 227,424

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Solution

The third proportional to 104,964 and 227,424 is: 492,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,964 : 227,424 = 227,424 : x
  2. Step 2: Convert to fraction form
    104,964/227,424 = 227,424/x
  3. Step 3: Cross multiply
    104,964x = 227,424 × 227,424
  4. Step 4: Simplify right side
    104,964x = 51,721,675,776
  5. Step 5: Solve for x
    x = 51,721,675,776/104,964
  6. Step 6: Final answer
    x = 492,756.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.