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Finding the Third Proportional to 149,793 and 326,034.75

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Solution

The third proportional to 149,793 and 326,034.75 is: 709,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,793 : 326,034.75 = 326,034.75 : x
  2. Step 2: Convert to fraction form
    149,793/326,034.75 = 326,034.75/x
  3. Step 3: Cross multiply
    149,793x = 326,034.75 × 326,034.75
  4. Step 4: Simplify right side
    149,793x = 106,298,658,207.56
  5. Step 5: Solve for x
    x = 106,298,658,207.56/149,793
  6. Step 6: Final answer
    x = 709,637.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.