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Finding the Third Proportional to 168,418 and 254,372.50

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Solution

The third proportional to 168,418 and 254,372.50 is: 384,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,418 : 254,372.50 = 254,372.50 : x
  2. Step 2: Convert to fraction form
    168,418/254,372.50 = 254,372.50/x
  3. Step 3: Cross multiply
    168,418x = 254,372.50 × 254,372.50
  4. Step 4: Simplify right side
    168,418x = 64,705,368,756.25
  5. Step 5: Solve for x
    x = 64,705,368,756.25/168,418
  6. Step 6: Final answer
    x = 384,195.09

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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.