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Finding the Third Proportional to 149,065.31 and 321,899.06

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Solution

The third proportional to 149,065.31 and 321,899.06 is: 695,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,065.31 : 321,899.06 = 321,899.06 : x
  2. Step 2: Convert to fraction form
    149,065.31/321,899.06 = 321,899.06/x
  3. Step 3: Cross multiply
    149,065.31x = 321,899.06 × 321,899.06
  4. Step 4: Simplify right side
    149,065.31x = 103,619,006,438.38
  5. Step 5: Solve for x
    x = 103,619,006,438.38/149,065.31
  6. Step 6: Final answer
    x = 695,124.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.