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Finding the Third Proportional to 149,860.13 and 321,043.50

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Solution

The third proportional to 149,860.13 and 321,043.50 is: 687,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,860.13 : 321,043.50 = 321,043.50 : x
  2. Step 2: Convert to fraction form
    149,860.13/321,043.50 = 321,043.50/x
  3. Step 3: Cross multiply
    149,860.13x = 321,043.50 × 321,043.50
  4. Step 4: Simplify right side
    149,860.13x = 103,068,928,892.25
  5. Step 5: Solve for x
    x = 103,068,928,892.25/149,860.13
  6. Step 6: Final answer
    x = 687,767.54

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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.