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Finding the Third Proportional to 168,433 and 254,404.75

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Solution

The third proportional to 168,433 and 254,404.75 is: 384,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,433 : 254,404.75 = 254,404.75 : x
  2. Step 2: Convert to fraction form
    168,433/254,404.75 = 254,404.75/x
  3. Step 3: Cross multiply
    168,433x = 254,404.75 × 254,404.75
  4. Step 4: Simplify right side
    168,433x = 64,721,776,822.56
  5. Step 5: Solve for x
    x = 64,721,776,822.56/168,433
  6. Step 6: Final answer
    x = 384,258.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.