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Finding the Third Proportional to 164,701.50 and 223,722.75

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Solution

The third proportional to 164,701.50 and 223,722.75 is: 303,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,701.50 : 223,722.75 = 223,722.75 : x
  2. Step 2: Convert to fraction form
    164,701.50/223,722.75 = 223,722.75/x
  3. Step 3: Cross multiply
    164,701.50x = 223,722.75 × 223,722.75
  4. Step 4: Simplify right side
    164,701.50x = 50,051,868,867.56
  5. Step 5: Solve for x
    x = 50,051,868,867.56/164,701.50
  6. Step 6: Final answer
    x = 303,894.43

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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.