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Finding the Third Proportional to 167,526 and 251,322.75

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Solution

The third proportional to 167,526 and 251,322.75 is: 377,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,526 : 251,322.75 = 251,322.75 : x
  2. Step 2: Convert to fraction form
    167,526/251,322.75 = 251,322.75/x
  3. Step 3: Cross multiply
    167,526x = 251,322.75 × 251,322.75
  4. Step 4: Simplify right side
    167,526x = 63,163,124,667.56
  5. Step 5: Solve for x
    x = 63,163,124,667.56/167,526
  6. Step 6: Final answer
    x = 377,034.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.