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Finding the Third Proportional to 149,852.21 and 321,078.94

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Solution

The third proportional to 149,852.21 and 321,078.94 is: 687,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,852.21 : 321,078.94 = 321,078.94 : x
  2. Step 2: Convert to fraction form
    149,852.21/321,078.94 = 321,078.94/x
  3. Step 3: Cross multiply
    149,852.21x = 321,078.94 × 321,078.94
  4. Step 4: Simplify right side
    149,852.21x = 103,091,684,106.13
  5. Step 5: Solve for x
    x = 103,091,684,106.13/149,852.21
  6. Step 6: Final answer
    x = 687,955.69

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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.