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Finding the Third Proportional to 149,827.13 and 321,887.25

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Solution

The third proportional to 149,827.13 and 321,887.25 is: 691,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,827.13 : 321,887.25 = 321,887.25 : x
  2. Step 2: Convert to fraction form
    149,827.13/321,887.25 = 321,887.25/x
  3. Step 3: Cross multiply
    149,827.13x = 321,887.25 × 321,887.25
  4. Step 4: Simplify right side
    149,827.13x = 103,611,401,712.56
  5. Step 5: Solve for x
    x = 103,611,401,712.56/149,827.13
  6. Step 6: Final answer
    x = 691,539.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.