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Finding the Third Proportional to 167,107.50 and 274,322.25

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Solution

The third proportional to 167,107.50 and 274,322.25 is: 450,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,107.50 : 274,322.25 = 274,322.25 : x
  2. Step 2: Convert to fraction form
    167,107.50/274,322.25 = 274,322.25/x
  3. Step 3: Cross multiply
    167,107.50x = 274,322.25 × 274,322.25
  4. Step 4: Simplify right side
    167,107.50x = 75,252,696,845.06
  5. Step 5: Solve for x
    x = 75,252,696,845.06/167,107.50
  6. Step 6: Final answer
    x = 450,325.07

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.