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Finding the Third Proportional to 168,418.50 and 254,373

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Solution

The third proportional to 168,418.50 and 254,373 is: 384,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,418.50 : 254,373 = 254,373 : x
  2. Step 2: Convert to fraction form
    168,418.50/254,373 = 254,373/x
  3. Step 3: Cross multiply
    168,418.50x = 254,373 × 254,373
  4. Step 4: Simplify right side
    168,418.50x = 64,705,623,129
  5. Step 5: Solve for x
    x = 64,705,623,129/168,418.50
  6. Step 6: Final answer
    x = 384,195.46

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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.