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Finding the Third Proportional to 149,737.50 and 324,656.25

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Solution

The third proportional to 149,737.50 and 324,656.25 is: 703,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,737.50 : 324,656.25 = 324,656.25 : x
  2. Step 2: Convert to fraction form
    149,737.50/324,656.25 = 324,656.25/x
  3. Step 3: Cross multiply
    149,737.50x = 324,656.25 × 324,656.25
  4. Step 4: Simplify right side
    149,737.50x = 105,401,680,664.06
  5. Step 5: Solve for x
    x = 105,401,680,664.06/149,737.50
  6. Step 6: Final answer
    x = 703,909.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.