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Finding the Third Proportional to 85,254 and 179,344.50

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Solution

The third proportional to 85,254 and 179,344.50 is: 377,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,254 : 179,344.50 = 179,344.50 : x
  2. Step 2: Convert to fraction form
    85,254/179,344.50 = 179,344.50/x
  3. Step 3: Cross multiply
    85,254x = 179,344.50 × 179,344.50
  4. Step 4: Simplify right side
    85,254x = 32,164,449,680.25
  5. Step 5: Solve for x
    x = 32,164,449,680.25/85,254
  6. Step 6: Final answer
    x = 377,277.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.