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Finding the Third Proportional to 164,909 and 227,538

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Solution

The third proportional to 164,909 and 227,538 is: 313,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,909 : 227,538 = 227,538 : x
  2. Step 2: Convert to fraction form
    164,909/227,538 = 227,538/x
  3. Step 3: Cross multiply
    164,909x = 227,538 × 227,538
  4. Step 4: Simplify right side
    164,909x = 51,773,541,444
  5. Step 5: Solve for x
    x = 51,773,541,444/164,909
  6. Step 6: Final answer
    x = 313,952.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.