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Finding the Third Proportional to 167,816 and 254,161.50

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Solution

The third proportional to 167,816 and 254,161.50 is: 384,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,816 : 254,161.50 = 254,161.50 : x
  2. Step 2: Convert to fraction form
    167,816/254,161.50 = 254,161.50/x
  3. Step 3: Cross multiply
    167,816x = 254,161.50 × 254,161.50
  4. Step 4: Simplify right side
    167,816x = 64,598,068,082.25
  5. Step 5: Solve for x
    x = 64,598,068,082.25/167,816
  6. Step 6: Final answer
    x = 384,933.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.