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Finding the Third Proportional to 164,697.75 and 223,717.50

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Solution

The third proportional to 164,697.75 and 223,717.50 is: 303,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,697.75 : 223,717.50 = 223,717.50 : x
  2. Step 2: Convert to fraction form
    164,697.75/223,717.50 = 223,717.50/x
  3. Step 3: Cross multiply
    164,697.75x = 223,717.50 × 223,717.50
  4. Step 4: Simplify right side
    164,697.75x = 50,049,519,806.25
  5. Step 5: Solve for x
    x = 50,049,519,806.25/164,697.75
  6. Step 6: Final answer
    x = 303,887.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.