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Finding the Third Proportional to 166,791 and 364,731

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Solution

The third proportional to 166,791 and 364,731 is: 797,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,791 : 364,731 = 364,731 : x
  2. Step 2: Convert to fraction form
    166,791/364,731 = 364,731/x
  3. Step 3: Cross multiply
    166,791x = 364,731 × 364,731
  4. Step 4: Simplify right side
    166,791x = 133,028,702,361
  5. Step 5: Solve for x
    x = 133,028,702,361/166,791
  6. Step 6: Final answer
    x = 797,577.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.