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Finding the Third Proportional to 166,526 and 253,961

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Solution

The third proportional to 166,526 and 253,961 is: 387,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,526 : 253,961 = 253,961 : x
  2. Step 2: Convert to fraction form
    166,526/253,961 = 253,961/x
  3. Step 3: Cross multiply
    166,526x = 253,961 × 253,961
  4. Step 4: Simplify right side
    166,526x = 64,496,189,521
  5. Step 5: Solve for x
    x = 64,496,189,521/166,526
  6. Step 6: Final answer
    x = 387,304.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.