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Finding the Third Proportional to 167,970 and 254,621

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Solution

The third proportional to 167,970 and 254,621 is: 385,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,970 : 254,621 = 254,621 : x
  2. Step 2: Convert to fraction form
    167,970/254,621 = 254,621/x
  3. Step 3: Cross multiply
    167,970x = 254,621 × 254,621
  4. Step 4: Simplify right side
    167,970x = 64,831,853,641
  5. Step 5: Solve for x
    x = 64,831,853,641/167,970
  6. Step 6: Final answer
    x = 385,972.81

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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.