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Finding the Third Proportional to 254,745 and 326,713.50

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Solution

The third proportional to 254,745 and 326,713.50 is: 419,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,745 : 326,713.50 = 326,713.50 : x
  2. Step 2: Convert to fraction form
    254,745/326,713.50 = 326,713.50/x
  3. Step 3: Cross multiply
    254,745x = 326,713.50 × 326,713.50
  4. Step 4: Simplify right side
    254,745x = 106,741,711,082.25
  5. Step 5: Solve for x
    x = 106,741,711,082.25/254,745
  6. Step 6: Final answer
    x = 419,013.96

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.