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Finding the Third Proportional to 167,184 and 253,968.75

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Solution

The third proportional to 167,184 and 253,968.75 is: 385,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,184 : 253,968.75 = 253,968.75 : x
  2. Step 2: Convert to fraction form
    167,184/253,968.75 = 253,968.75/x
  3. Step 3: Cross multiply
    167,184x = 253,968.75 × 253,968.75
  4. Step 4: Simplify right side
    167,184x = 64,500,125,976.56
  5. Step 5: Solve for x
    x = 64,500,125,976.56/167,184
  6. Step 6: Final answer
    x = 385,803.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.