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Finding the Third Proportional to 254,128 and 338,788.50

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Solution

The third proportional to 254,128 and 338,788.50 is: 451,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,128 : 338,788.50 = 338,788.50 : x
  2. Step 2: Convert to fraction form
    254,128/338,788.50 = 338,788.50/x
  3. Step 3: Cross multiply
    254,128x = 338,788.50 × 338,788.50
  4. Step 4: Simplify right side
    254,128x = 114,777,647,732.25
  5. Step 5: Solve for x
    x = 114,777,647,732.25/254,128
  6. Step 6: Final answer
    x = 451,652.90

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.