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Finding the Third Proportional to 146,827 and 223,317

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Solution

The third proportional to 146,827 and 223,317 is: 339,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,827 : 223,317 = 223,317 : x
  2. Step 2: Convert to fraction form
    146,827/223,317 = 223,317/x
  3. Step 3: Cross multiply
    146,827x = 223,317 × 223,317
  4. Step 4: Simplify right side
    146,827x = 49,870,482,489
  5. Step 5: Solve for x
    x = 49,870,482,489/146,827
  6. Step 6: Final answer
    x = 339,654.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.