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Finding the Third Proportional to 104,970 and 227,436

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Solution

The third proportional to 104,970 and 227,436 is: 492,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,970 : 227,436 = 227,436 : x
  2. Step 2: Convert to fraction form
    104,970/227,436 = 227,436/x
  3. Step 3: Cross multiply
    104,970x = 227,436 × 227,436
  4. Step 4: Simplify right side
    104,970x = 51,727,134,096
  5. Step 5: Solve for x
    x = 51,727,134,096/104,970
  6. Step 6: Final answer
    x = 492,780.17

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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.