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Finding the Third Proportional to 149,885.86 and 321,138.84

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Solution

The third proportional to 149,885.86 and 321,138.84 is: 688,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,885.86 : 321,138.84 = 321,138.84 : x
  2. Step 2: Convert to fraction form
    149,885.86/321,138.84 = 321,138.84/x
  3. Step 3: Cross multiply
    149,885.86x = 321,138.84 × 321,138.84
  4. Step 4: Simplify right side
    149,885.86x = 103,130,156,965.09
  5. Step 5: Solve for x
    x = 103,130,156,965.09/149,885.86
  6. Step 6: Final answer
    x = 688,057.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.