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Finding the Third Proportional to 167,976 and 262,192.50

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Solution

The third proportional to 167,976 and 262,192.50 is: 409,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,976 : 262,192.50 = 262,192.50 : x
  2. Step 2: Convert to fraction form
    167,976/262,192.50 = 262,192.50/x
  3. Step 3: Cross multiply
    167,976x = 262,192.50 × 262,192.50
  4. Step 4: Simplify right side
    167,976x = 68,744,907,056.25
  5. Step 5: Solve for x
    x = 68,744,907,056.25/167,976
  6. Step 6: Final answer
    x = 409,254.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.